Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 86612: can someone help me with these problems when you have a few min. thanks.
Problem #1
Suppose you have three jars with the following contents: 2 black balls and 1 white ball in the first, 1 black ball and 2 white balls in the second, and 1 black ball and 1 white ball in the third. One jar is to be selected, and then 1 ball is to be drawn from the selected jar. If
the probabilities of selecting the first, second, or third jar are 1/ 2, 1/ 3, and 1 /6, respectively,find the probabilities that if a white ball is drawn, it came from the following jars.
A) The third jar
Problem #2
Laura Johnson, a game show contestant, could win one of two prizes: a shiny new
Porsche or a shiny new penny. Laura is given two boxes of marbles. The first box has
50 pink marbles in it and the second box has 50 blue marbles in it. The game show
host will pick someone from the audience to be blindfolded and then draw a marble
from one of the two boxes. If a pink marble is drawn, she wins the Porsche. Otherwise,
Laura wins the penny.* Can Laura increase her chances of winning by redistributing
some of the marbles from one box to the other? Explain.
Click here to see answer by stanbon(57290)  |
Question 84170: You can be selected for the Varsity Baskeball Team if your shooting score is at 70% probability of sucess. Your trial scores over 4 sessions were a mean of 65.2, a mode of 68.4, a median of 72, and a range of 6 . You should be, on active reserve, the second string team,admitted to team or not be considered
Click here to see answer by stanbon(57290) |
Question 84441: It is known that steroids give users an advantage in athletic contests, but it is also known that steriod use is banned in athletes. As a result, a steroid testing program has been instituted and athletes are randomly tested. The test procedures are believed to be equally effective on both users and nonusers and claim to be 98% accurate. If 90% of the athletes affected by this testing program are clean, what is the probability that the next athlete tested will be a user and fail the test?
I'm not sure, but can you use the equation P(A and B) = P(A) * P(B knowing A)
Click here to see answer by stanbon(57290) |
Question 86682: I need help if someone can help me with just these three problems and please explain them to me step by step because i am having difficulty with them....I would greatly appreciated it...
Problem #1
Draw a vendiagram and use the given information to fill in the number of elements for each region.
n (A ' ) = 28 , n(B) = 25, n (A' U B ' ) = 45, n(A (upside down U ) B )=12
Problem #2
Let A and B independent events with P (A) = (1)/(4) and P(B) = (1)/(5).
Find P(A (Upside down U) B) and P(A U B)
Problem #3
In the previous section, we described an experiment in which the numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement. Find each probability
The probability that the first number is 3, given the following.
a. The sum is 7.
b. The sum is 8.
Click here to see answer by stanbon(57290) |
Question 86724: sorry i wrote the last problem wrong it should of read
Find probability
suppose one card is selected at random from an ordianry deck of 52 playing cards
let
a = event a queen is selected
b= event a diamond is selected
determine P(B/A)
Click here to see answer by Edwin McCravy(8893)  |
Question 86723: I need help with these three problems.
Problem #1
Find probablity
when a single card is drawn from a wll-shuffled 52-card deck, find the probability of getting a club.
Problem #2
Find probability
Each of ten tickets is marked with a different number from 1-10 and put in a box. If you draw a ticket at random from the box, what is the probability that you will draw 4,8,or 6?
Problem #3
Find probability
Suppose one card is selected at random from an ordinary deck of 52 playing cards.
Letting:
A = event a queen is selected
B = event a diamond is selected
Click here to see answer by tanimachatterjee(60) |
Question 86797: Hey! I'm new to this whole thing and I am LOST. . I have been out of high school now for 8 years and I am just not grasping some of this. I have a few questions and I hope you can help..
Here are my choices. Please let me know if I am correct.
1. D
2. B
3. C
4. C
5. I have no idea where to begin
6. I have no idea where to begin
Questions
The numbers 1 to 10 are written on sheets of paper and placed in a hat.
If one sheet of paper is selected at random then find the following
***The probability the number is greater than 3
A. 1/10
B. 3/10
C. 8/10
D. 7/10 I say answer D is correct.
***The odds the number is a 9
A. 1:9
B. 1:10 I think answer B is correct
C. 1:11
D. 1:1
***The probability the number is odd OR greater than 3
A. 9/10
B. 7/20
C. 12/10 I say C
D. 3/10
***The probability the number is odd AND less than 5
A. 9/10
B. 7/10
C. 1/5 I say answer C
D. 4/5
The numbers 1 to 10 are written on sheets of paper and placed in a hat.
If two sheets are selected at random then find the following:
***The probability both numbers are ODD with replacement.
Note: “with replacement” assumes the first selection is replaced back into the hat before the second selection is made.
A. 1/100
B. 1/4.
C. 2/9
D. 1/5
***The probability both numbers are ODD without replacement.
Note: “without replacement” assumes the first selection is NOT replaced back into the hat, but is held out, while the second selection is made.
A. 1/5
B. 2/9
C. 1/4
D. 1/100
***The probability the first number is ODD and the second number is EVEN,
without replacement.
A. 1/4
B. 5/18
C. 2/9
D. 13/18
***The probability of selecting a 2 and then a 9, with replacement.
A. 19/90
B. 1/5
C. 1/90
D. 1/100
***One card is selected from a deck of standard poker cards (assume a typical deck of 52 totals cards numbered from 2 thru 10 and Jack thru Ace) at random. Find the
probability the card is a spade OR less than 8 (that is, from 2 to 7 only).
A. 31/52
B. 37/52
C. 39/338
D. 3/26
***The State Pick-3 lottery uses 27 balls numbered 1 to 9 (3 each).
What is the probability that my ticket numbered “222” will win ?
Assume that the balls are NOT replaced after each selection.
A. 1 / 19683
B. 1 / 2925
C. 2 / 6561
D. 1 / 1
Click here to see answer by stanbon(57290) |
Question 86927: An urban sociologist interested in neighborliness collected data for a sample of 10 adults on (X) how many years they have lived in their neighborhood and (Y) how many of their neighbors they regard as friends. Compute a Pearson's correlation coefficient for these data and determine whether the correlation is significant.
X Y
________
1 1
5 4
6 2
1 3
8 5
2 1
5 2
9 6
4 7
2 0
________
Click here to see answer by stanbon(57290) |
Question 86928: A researcher was interested in studying the phenomenon known as social distance, the reluctance of people to associate with members of different ethnic and racial groups. She designed an experiment in which students enrolled in a lecture course were asked to choose a discussion group (all meeting at the same time in the same building) based only on the ethnic-racial stereotype associated with the names of the teaching assistant:
Group Teaching Assistant Room Enrollment
_____________________________________________________
A Cheng 106 10
B Schultz 108 24
C Goldberg 110 10
D Rodriguez 112 16
___________________________________________________
Based on the enrollments, use the one-way chi-squre to test the null hypothesis that the ethnic-racial name made no difference in students' selection of a discussion group.
Click here to see answer by stanbon(57290) |
Question 86873: can someone help me with these three problems i just still don't understand them can someone show me step by step thanks...
Problem #1 Sect:2
Write a sample space for the given experiment
A box contains 3 blue cards numbered 1 through 3 , and 4 green cards numbered 1 through 4. A blue card is picked , followed by a green card.
Problem #2 sect 2
Write the indicated event in set notation
the even that charlie is selected as a board memeber when three board members are selected at random from the following group: Allison, Betty, Charlie, Dave, and Emily.
[the possible outcomes can be represented as follows.
ABC/ABD/ABE/ACD/ACE
ADE/BCD/BCE/BDE/CDE]
*I USED THE "/" TO SEPARATE THEM HOW IT LOOKS IN THE BOOK*
Click here to see answer by stanbon(57290) |
Question 86761: Here are some probabilities estimated by a medical care study. The entries in the table are the probabilities that both of two events occur; for example, .321 is the probability that a patient is under 65 years of age and the tests were done. The 4 probabilities in the table have a sum 1 beacuse the table lists all possible outcomes.
Tests Done?
Yes No
Age<65 0.321 0.124
Age>or=65 0.365 0.190
1) What is the probability that a pt. is under 65? That a pt. is 65 or over?
2) What is the probability that the tests were done for a pt.? That they were not done?
3) Are the events A= (the pt. was 65 or older) and B= (the tests were done independent? Were the tests omitted on older pts. more or less frequently than would be the case if testing were independent of age?
Click here to see answer by stanbon(57290) |
Question 86974: According to the daily racing form , the probability is about .72 that the favorite in a horse race will finish in the money ( 1st, 2nd, or 3rd) In the next five races, what is the probability that the favorite finishes in the money
a. exactly twice?
b. exactly four times
c. at least four times
d. between two and four times, inclusive?
e. obtain the mean of standard deviation
Click here to see answer by scianci(186) |
Question 87028: Please assist me in solving this problem. Thank you.
When playing five card poker, a royal flush consists of a 5-card hand with A-K-Q-J-10 of the same suit.
A.) How many royal flushes are there? (order is not important)
B.) What is the probability of getting a royal flush?
Click here to see answer by stanbon(57290) |
Question 87096: i need help with these two problems can someone help me.thanks
Problem #1
A group of 7 workers decides to send a delegation of 2 to their supervisor to discuss their greivances.
a) how many delegations are possible?
b)If it is decided that a particular worker must be in the delegation, how many different delegations are possible?
c)IF there are 2 women and 5 men in the group, how many delegations would include at least 1 woman?
Problem #2
A television commercial for Little Caesars
pizza announced that with the purchase of two pizzas, one
could receive free any combination of up to five toppings
on each pizza. The commercial shows a young child waiting
in line at Little Caesars who calculates that there are
1,048,576 possibilities for the toppings on the two pizzas.*
a. Verify the child’s calculation. Use the fact that Little
Caesars has 11 toppings to choose from. Assume that the
order of the two pizzas matters; that is, if the first pizza
has combination 1 and the second pizza has combination
2, that is different from combination 2 on the first pizza
and combination 1 on the second.
b. In a letter to The Mathematics Teacher, Joseph F. Heiser
argued that the two combinations described in part a
should be counted as the same, so the child has actually
overcounted. Give the number of possibilities if the
order of the two pizzas doesn’t matter.
Click here to see answer by stanbon(57290) |
Question 87094: I need help in these two problems:
Problem#1
A group of 3 students is to be selected from a group of 12 students to take part in a class in cell biology.
a) In how many ways can this be done?
b) In how many ways can the group who will not take part be chosen?
Problem #2
If a baseball coach has 5 good hitters and 4 poor hitters on the bench and chooses 3 players at random, in how many ways can he choose at least 2 hiters?
Click here to see answer by stanbon(57290) |
Question 87157: can someone help me with this thanks.
"choose any state that runs a lottery.) Describe how you would calculate the odds of winning the jackpot".
MY idea is may one over the number of entries I think i am wrong but any help would be appreciated.
Click here to see answer by stanbon(57290) |
Question 87092: I need help with these two problems can someone help me, I know they are long but i am in a big "?" ......thanks
Problem #1
Wind has different books to arrange on a shelf: 4 blue, 3 green, and 2 red.
a) In how many ways can the books be arranges on a shelf?
b) If books of hte same color are to be grouped together, how many arrangements are possible?
c) In how many distinguishable ways can the books be arranged inf books of the same color are indentical but need not to be grouped together?
d) In how many ways can you select 3 books , one of each color, if the order in which the books are selected does not matter?
Problem #2
How many 7-digit telephone numbers are possible if the first digit cannot be zero and
a) only odd digits may be used?
b) the telephone number must be a multiple of 10 (that is, it must end in zero)?
c)the telephone number must be a multiple of 100?
d)the first 3 digits are 481?
e) no repetitions are allowed?
Click here to see answer by stanbon(57290) |
Question 87091: I need help with these problems can someone help me.
Problem #1
A menu offers a choice of 3 salads, 8 main dishes, and 5 desserts. How many different meals consisting of one salad, one main dish, and one dessert are possible?
Problem #2
Some students find it puzzling that 0!=1, and think that 0! should equal 0. If this were true, what would be the value of P(4 , 4) using the permutations formula?
Problem #3
An auto mobile manufacturer produces 7 models , each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobile are available?
Click here to see answer by stanbon(57290) |
Question 87391: I need help understaning how to solve these types of problems...can someone show me thanks...
Problem #1
A coin is tossed 6 times. Find the probabilities of getting the following.
a) Exactly 3 heads
Problem #2
Quality Control A factory tests a random sample of 20 transistors
for defective transistors. The probability that a particular
transistor will be defective has been established by past
experience as .05.
a) What is the probability that there are no defective transistors
in the sample?
Problem#3
Flu Inoculations A flu vaccine has a probability of 80%
of preventing a person who is inoculated from getting the
flu. A county health office inoculates 83 people. Find the
probabilities of the following.
a. Exactly 10 of the people inoculated get the flu.
b. No more than 4 of the people inoculated get the flu.
c. None of the people inoculated get the flu.
Click here to see answer by longjonsilver(2297)  |
Question 87391: I need help understaning how to solve these types of problems...can someone show me thanks...
Problem #1
A coin is tossed 6 times. Find the probabilities of getting the following.
a) Exactly 3 heads
Problem #2
Quality Control A factory tests a random sample of 20 transistors
for defective transistors. The probability that a particular
transistor will be defective has been established by past
experience as .05.
a) What is the probability that there are no defective transistors
in the sample?
Problem#3
Flu Inoculations A flu vaccine has a probability of 80%
of preventing a person who is inoculated from getting the
flu. A county health office inoculates 83 people. Find the
probabilities of the following.
a. Exactly 10 of the people inoculated get the flu.
b. No more than 4 of the people inoculated get the flu.
c. None of the people inoculated get the flu.
Click here to see answer by Edwin McCravy(8893) |
Question 87624: 7. The number of violent crimes committed in a large city follows a Poisson distribution with an average rate of 10 per month.
a. Find the expected number of violent crimes committed in a 3 month period
b. Find the standard deviation of the number of violent crimes committed in a 3 month period
c. Find the probability that at least 45 violent crimes will be committed in a 3 month period
d. Find the probability that between 25 and 40 violent crimes will be committed in a 3 month period
e. Find the probability that less than 20 violent crimes will be committed in a 3 month period
Click here to see answer by stanbon(57290) |
Question 87626: 6. Suppose the national average for medication error is one out of every 1000 patients. A hospital believes that their medication error rate is comparable to the national average. If the hospital randomly selects 500 patients,
a. Find the expected number of patients in the sample that will have had a medication error.
b. What is the standard deviation of the number of patients in the sample that will have had a medication error?
c. What is the probability of observing one or more patients who have had medication errors in the same sample?
d. What is the probability of observing two or more patients who have had medication errors in the same sample?
e. If you observed three patients who have had medication errors in the sample, would you believe that he hospital's medication error rate was comparable to the national average? Give reasons for your conclusions
Click here to see answer by stanbon(57290) |
Question 87915: The probability that Robin Hood hits a target is 5/6. The probability that Little John hits a target is 1/7. If Robin Hood and Little John each shoot one arrow at the target, what is the probability that they both miss?:
Click here to see answer by stanbon(57290) |
Question 87988: I need help with my math today.I need to understand why i got these problems wrong on my quiz...can someone please help me...explain them to me thanks...
Problem #1
Life of Light Bulbs A certain type of light bulb has an average
life of 500 hours, with a standard deviation of 100 hours. The
length of life of the bulb can be closely approximated by a normal
curve. An amusement park buys and installs 10,000 such
bulbs.
Find the shortest and longest lengths of life for the middle
80% of the bulbs.
Problem #2
Find the percent of the total area under the standard normal curve between each pair of z-scores.
z= 0.64 and z = 2.11
Click here to see answer by stanbon(57290) |
Question 87992: i need help with these problems:
The first problem:
Section topic: Frequency distributions; Measures of Central Tendency
Under what circumstances would the mode be an appropriate measure of central tendancy?
The second problem is:
Find the mean for the following. Round to the nearest tenth.
The chart looks like:
The table is a 2 by 4
Value / Frequency
9 / 3
12/ 5
15/ 1
18/ 1
this is what i did i found the total for frequency then for i added a third colum multiply the value and frequency and then i added all the results for that colum and then dividen the total for the third colum over the total for frequency thats how i got 11.3 and it asks to round to the nearest tenth
So the answer i got was 11.3 but when i rounded to the tenth it would be 11.0
Click here to see answer by stanbon(57290) |
Question 87989: I need help with these problems i got them wrong on my quizz:
pROBLEM #1
In 2002, eleven state governors earned at least $124, 000 annually (not counting expense allowances) as listed below. (Salaries are given in thousands of dollars and are arounded to the nearest $1000).*
State & Salary
California $175
Georgia $127
Illinois $150
Massachusetts $135
Michigan $177
New Mexico $150
New York $ 179
Pennsylvania $142
Vermont $125
Virginia $125
Washington $142
a)
Find the mean salary of these governors. Which states
have the governor with the salary closest to the mean?
b) Find the standard deviation for the data.
c) What percent of the governors have salaries within 1
standard deviation of the mean?
d) What percent of the governors have salaries within 3
standard deviations of the mean?
Click here to see answer by stanbon(57290) |
Question 87990: I need help with these problems:
Problem #1
The number of unemployed workers in the United States in recent years (in millions) is given below,
Year & # of unemployed
1992 / 9.61
1993 / 8.94
1994/ 8.00
1995 / 7.40
1996/ 7.24
1997/ 6.74
1998 / 6.21
1999/ 5.88
2000/ 5.66
2001/ 6.74
a. Find the mean number unemployed (in millions) in this
period. Which year has unemployment closest to the
mean?
b. Find the standard deviation for the data.
c. In how many of these years is unemployment within
1 standard deviation of the mean?
d. In how many of these years is unemployment within
3 standard deviations of the mean?
Click here to see answer by stanbon(57290) |
Question 87986: This is the last problem i need help on...
A professor gives a test with 100 true-false questions. If 60 or more correct is necessary to pass, what is the probability that a student will pass by random guessing?
Click here to see answer by stanbon(57290) |
Question 87985: I need help with these problems:
Problem #1
The blood types B- and AB- are the rarest
of the eight human blood types, representing 1.5% and .6%
of the population, respectively.*
a. If the blood types of a random sample of 1000 blood
donors are recorded, what is the probability that 10 or
more of the samples are AB-?
b. If the blood types of a random sample of 1000 blood
donors are recorded, what is the probability that 20 to 40
inclusive of the samples are B-?
c. If a particular city had a blood drive in which 500 people
gave blood and 3% of the donations were would we
have reason to believe that this town has a higher than
normal number of donors who are B-? (Hint: Calculate
the probability of 15 or more donors being B- for a random
sample of 500 and then discuss the probability
obtained.)
Click here to see answer by stanbon(57290) |
Question 87983: I need help with these problems:
Problem #1
A die is tossed 120 times. Find the probability of getting the following result.
Fewer than twenty-two 6's
Problem #2
A company is taking a survey to find out whether people like its product. Their last survey indicated that 70% of the population like the product. Based on that, of a sample of 58 people, find the probability of the following.
a) All 58 like the product
b)From 28 to 30 (inclusive) like the product.
Click here to see answer by stanbon(57290) |
Question 88341: I need help understanding how solve these types of problems...can someone explain them to me thanks...
1) two 6 sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 9?
2) what i sthe probability that at least 2students in a class of 36 have the same birthday?
3) Consider determining how many possible phone numbers are in an area code (repeated numbers allowed). Is this a combination, a permutation, or neither? Provide an appropriate response.
Click here to see answer by stanbon(57290) |
Question 88339: I need help understanding how to solve these problems....can someone explain them to me...
ex...
1) How many 5-card poker hands consisting of 2 aces and 3 kings are possible with an ordinary 52-card deck?
2) A bag contains 5 apples and 3 oranges. If you select 4 pieces of fruit without looking, how many ways can you get exactly 3 apples?
3) How many different three-number "combinations" are possible on a combination lock having 24 numbers on its dial? Assume that no numbers repeat. (combination locks are really permutation locks)
Click here to see answer by stanbon(57290) |
Question 88827: A state lottery is designed so that a player chooses six numbers from 1-30 on one lottery ticket. What is the probability that a player with 1 lottery ticket will win? What is the probability of winning if 100 different tickets are purchased?
Click here to see answer by stanbon(57290) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195
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