Questions on Algebra: Probability and statistics answered by real tutors!

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 1182075: `Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.
n=70 p=0.9
Click here to see answer by ikleyn(52778)

Question 1182084: A Surgeon probability of a successful operation is 0.03 for each operation and that the operations are
independent, compute the probability that, in order to operate:
a) It takes more than two operations.
b) The number of operations required is between four and six (inclusive).
Click here to see answer by ikleyn(52778)

Question 1182082: 22% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
(a)P(3)=(Round to three decimal places as needed.)
(b)P(x≥4)=(Round to three decimal places as needed.)
(c)P(x<8)=(Round to three decimal places as needed.

Click here to see answer by ikleyn(52778)

Question 1182080:
58% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
(a) P(5)= (Round to three decimal places as needed.)
(b) P(x≥6)=(Round to three decimal places as needed.)
(c) P(x<4)=(Round to three decimal places as needed.)
Click here to see answer by ikleyn(52778)

Question 1182078: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 36 farm-raised trout is selected. The mean fat content for the sample is 29.7 grams per pound. Find the probability of observing a sample mean of 29.7 grams of fat per pound or less in a random sample of 36 farm-raised trout.
Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
Click here to see answer by ikleyn(52778)

Question 1182086: Each month, an American household generates an average of 30 pounds of newspaper
for garbage or recycling. Assume the standard deviation is 5 pounds. If a household is
selected at random, find the probability of its generating
a. Between 25 and 35 pounds per month
b. More than 40 pounds per month
Assume the variable is approximately normally distributed

Click here to see answer by mathmate(429)

Question 1182076: A researcher believes that about 74% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 145 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that at least 104 of the 145 seeds will germinate. Use the normal approximation to the binomial with a correction for continuity.
Round your answer to at least three decimal places. Do not round any intermediate steps.

Click here to see answer by Boreal(15235)

Question 1182052: a. A random sample of size 81 is taken from a large population, measuring the time it takes to complete a driver’s license examination. The sample mean was found to be 43 minutes, and the sample standard deviation 5.71 minutes. Construct a 95% confidence interval around the sample mean. Be sure to show whether you use the t- or z- value, and what value you use. Please use the exact value appropriate for these circumstances (rather than the approximations sometimes referred to as the empirical rule). Interpret the confidence interval in a single sentence. In another sentence, state why you used either the “t” or the “z”.
Click here to see answer by Boreal(15235)

Question 1182051: What is the probability that a sample mean calculated from a sample of 100 individuals from the Florida subdivision will have an average age between 64 and 66 years of age. As in question #2, the mean age of the population is 65 years of age, and the standard deviation is 2 years. For this problem, be sure to use the z-calculation that is for sample means, and includes the sample size:
z=( - ))/((/ ))

Click here to see answer by Boreal(15235)

Question 1182014: Given the following data representing exam scores by four groups of students; explain why group 3
would most likely have the highest individual student score on the exam and why group 1 would have
the smallest range of scores. (SD = Standard Deviation)
Class: 1 2 3 4
Mean: 76 68 73 70
SD: 2.7 7.5 6.2 3.1
Click here to see answer by Boreal(15235)

Question 1182031: An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question you think you have a probability of p=0.70 of getting the correct answer. Consider the sampling distribution of the sample proportion of the 50 questions on which you get the correct answer.
a. Find the mean and standard deviation of the sampling distribution of this proportion.
b.What do you expect for the shape of the sampling distribution? Why?
c. If truly p=0.70, would it be very surprising if you got correct answers on only 60% of the questions? Justify your answer by using the normal distribution to approximate the probability of a sample proportion of 0.60 or less.
Click here to see answer by Boreal(15235)

Question 1182013: (Standard deviation symbol will be O)Determine a 90% confidence interval for µ if O = 6, x = 72, and n =81
Click here to see answer by Boreal(15235)

Question 1181998: A hospital is studying the delivery time of two laundry companies. The hospital has been using Company A for the past year and is basically satisfied with time the company takes to return laundry to the hospital. The hospital is prepared to stay with Company A if the mean delivery time is the same as or less than that of a competitor company - Company B. However, if the hospital finds that the mean delivery time of Company B is less than that of Company A, it will start using the laundry services of Company B. Independent samples showed the following delivery time characteristics for the two companies.
Company A
n1 = 20
X1 = 10 days
s1 = 3 days

Company B
n1 = 30
X2 = 12.5 days
s1 = 2 days
What are the null and alternative hypotheses for this situation?
With an α = .05, what is your conclusion for the hypotheses from part (a)? What action do you recommend in terms of which laundry company the hospital should contract?

Click here to see answer by Boreal(15235)

Question 1182110: Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume the variable is binomial. In a random sample of couples who plan to marry, find the probability At least couples will have a destination wedding

Click here to see answer by ikleyn(52778)

Question 1182126: A survey of athletes at a high school is conducted, and the following facts are discovered: 58% of the athletes are football players, 38% are basketball players, and 8% of the athletes are both football and basketball.
An athlete is chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player?
_____%
Click here to see answer by ikleyn(52778)

Question 1182128: Suppose that 39% of people have dogs.
If you pick two people at random, what is the probability that they both have a dog?
Decimal point rounded to 4 places
Click here to see answer by ikleyn(52778)

Question 1182127: Suppose that 57% of people have dogs.
If two people are randomly chosen, what is the probability that they both have a dog?
There is a _____ % chance the two randomly chosen people have dogs.
Round to the nearest one hundredth of a percent
Click here to see answer by ikleyn(52778)

Question 1119661: A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write your answers in percent form, rounded to 4 decimal places.
a) Determine the probability that exactly 3 of these cards are Aces.
b) Determine the probability of selecting exactly 2 Aces and exactly 2 Kings
c) Determine the probability of selecting exactly 1 Jack.
Click here to see answer by math_tutor2020(3816)

Question 1182125: Pollsters are concerned about declining levels of cooperation among persons contacted in surveys.
A pollster contacts 76 people in the 18-21 age bracket and finds that 65 of them respond and 11 of them refuse to respond.
When 303 people in the 22-29 age bracket are contacted, 283 respond and 20 refuse to respond.
Assume that 1 of the 379 people is randomly selected.
Find the probability of getting someone in the 18-21 age bracket or someone that does not respond.
Answer to a percent rounded to 1 decimal.
Click here to see answer by math_tutor2020(3816)

Question 1181943: A non-governmental organization (NGO) conducts a study on human rights for a group of people
who are on trial. The organization found that 45% of the them were sent to prison. Among those
sent to prison, 25% chose to plead guilty. Among those not sent to prison, 80% chose to plead
guilty.
(a) If the NGO randomly selects one of them and it is then found that he or she has entered a
guilty plea, find the probability that this person was not sent to prison.
(b) If the NGO randomly selects one of them and it is then found that he or she has entered
without guilty plea, find the probability that this person was not sent to prison.
(c) If a person does not want to be sent to prison, how would the NGO advise this person
according to your findings in (a) and (b)
Click here to see answer by mathmate(429)

Question 1182141: Detailed analysis of two technology stocks indicates over the next six months the probability that the price of stock 1 will rise is 0.25 and for stock 2 the probability is 0.63. Suppose the stock prices react independently. What is the probability that both stock prices will rise over the next six months? Round your answer to 4 decimal places
Click here to see answer by ikleyn(52778)

Question 1182140: A study was done to determine the efficacy of two different headache tablets A and B. The 2500 study participants used the two tablets (at different times) over the period of the study. Results indicated that 1,637 reported relief from tablet A, 1,748 reported relief from tablet B, and 1,122 reported relief from both tablets A and B. If a study participant is selected at random, what is the probability that he/she reported relief from tablet A or tablet B? Round your answer to four decimal places.
Click here to see answer by ikleyn(52778)

Question 1182139: Suppose that we have a fuse box containing 51 fuses, of which 17 are defective. Two fuses are selected at random and removed from the box in succession assuming that the first fuse has been replaced before selecting the second one. What is the probability that the second fuse selected is defective given that the first one was defective? Round your answer to 4 decimal places.
Click here to see answer by ikleyn(52778)

Question 1182142: Suppose that we have a fuse box containing 63 fuses, of which 12 are defective. If 2 fuses are selected at random and removed from the box in succession without replacing the first, what is the probability that the second fuse selected is good given that the first one was defective? Round your answer to 4 decimal places.
Click here to see answer by ikleyn(52778)

Question 1182138: In a class, the course grade is a weighted mean of two homework assignments, presentation, midterm exam, and Final exam. Each homework assignment counts for 15% of the course grade, the presnetation counts for 10%, the midterm exam counts for 25% and the final exam counts for 35%. You got a score of 86 and 98 on the homework assignments, 92 on the presentation , 70 on the midterm, and 70 on the final. What is your course grade? (Round your answer to the nearest whole number)
Click here to see answer by ikleyn(52778)

Question 1182077: A small jet can carry up to 41 passengers and 3 crew members. There is a weight restriction of 9200 pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of 195.3 pounds, with a standard deviation of 61.2 pounds. What is the probability that the weight limit will be exceeded when there are exactly 41 passengers and 3 crew members on board?
Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Click here to see answer by mathmate(429)

Question 1182137: According to the growth chart that doctors use as a reference, the heights of two-year-old boys are normally distributed with mean 34.5 inches and standard deviation 1.3 inches. If six two-year old boys are selected, what is the probability that their average height will be between 34.1 and 35.2 inches.

Click here to see answer by Boreal(15235)

Question 1182136: in a certain statistics class, the marks obtained by students on a class test followed a normal distribution with a mean of 68 and a standard deviation of 10. What is the probability that the mean test mark from a sample of 25 students from the class was more than 72?
Click here to see answer by Boreal(15235)

Question 1182109: Determine the necessary sample size for a confidence interval around a sample mean: Set the confidence level at 95%; the population standard deviation, even though unknown, is assumed to be 6.5 (in the same units of measure as the sample mean), and the desired margin of error is 1.5. What sample size would you need to use to accomplish this result?
Click here to see answer by Boreal(15235)

Question 1182111: The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana.
Alabama Arkansas Louisiana
soybeans (s) soybeans (s) soybeans (s)
peanuts (p) rice (r) sugarcane No
corn (c) cotton (t) rice (r)
hay heart hay heart corn (c)
wheat (w) wheat (w) cotton (t)
Let U be the smallest possible universal set that includes all of the crops listed; and let A, K, and L be the sets of five crops in Alabama, Arkansas, and Louisiana, respectively. Find the indicated set.
K ∪ L
Click here to see answer by math_tutor2020(3816)

Question 1182107: Tonya was at the beach one sunny afternoon. There were 68 people on her section of the beach. Tonya noted whether the beach-goers wore any of the following: sunglasses, a hat, swimsuit. She noted the following:
• 56 people wore a swimsuit or sunglasses 12 people wore all 3 items
4 people were not wearing any of these items
15 people were wearing sunglasses and a hat 14 people were only wearing sunglasses
18 people were wearing exactly 2 of the 3 items
38 people were wearing sunglasses
show work!!!!
1. Draw a well-labeled Venn diagram using the above information.
2. How many people were only wearing a swimsuit?
3. What is the probability that a beach-goer was wearing a swimsuit and a hat?
4. What is the probability that a beach-goer was wearing a hat or sunglasses?
5. Among those wearing swimsuit, what is the probability that they were wearing
sunglasses?
6. Given that a beach-goer was not wearing a hat, what is the probability that they were wearing a swimsuit?
Click here to see answer by math_tutor2020(3816)

Question 1182164: Events A and B are independent.
Find the indicated Probability.
P (A) = 0.39
P (B) = _______ (round answer to 3 decimal places).
P (A and B) = ) 0.02
Click here to see answer by math_tutor2020(3816)

Question 1182165: Events A and B are independent events.
Find the indicated Probability.
P (A) = 0.4
P (B) = 0.7
P (A and B) = _______
Click here to see answer by ikleyn(52778)

Question 1182167: On a 9 question multiple-choice test, where each question has 3 answers, what would the probability of getting at least 1 question wrong?
Answer as a fraction
Click here to see answer by ikleyn(52778)

Question 1182166: A hacker is trying to guess someone's password.
The hacker knows (somehow) that the password is 3 digits long, and that each digit could be a number between 0 and 3.
Assume that the hacker makes random guesses.
What is the probability that the hacker guesses the password on the 1st try?
Round to six decimal places.
Probability = ______
Click here to see answer by math_helper(2461)

Question 1182168: Ryan has a bag of marbles with 4 blue marbles, 3 white marbles, and 6 red marbles.
Find the following probabilities of Ryan drawing the given marbles from the bag if the first marble(s) is (are) not returned to the bag after they are drawn.
(Answer as a reduced fraction)
a A Blue, then a Red = ________
b A Red, then a White = _______
c A Blue, then a Blue, then a Blue = _______
Click here to see answer by math_helper(2461)

Question 1182177: Twelve different video games showing substance use were observed and the duration of times of game play (in seconds) are listed below. The design of the study justifies the assumption that the sample can be treated as a simple random sample. Use the sample data to construct a 90% confidence interval estimate of o, the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution.
4133, 4408, 4021, 4820, 4720, 4635, 5007, 4568, 4192, 3961, 4897, 4223
What is the confidence interval of population mean?
The confidence interval estimate is ____ sec < o < ____ sec
Click here to see answer by Boreal(15235)

Question 1182175: Roda has 8 pink paper clips, 5 yellow, and 3 green paper clips in her drawer. If she
selects 3 paper clips at random with no replacement, what is the proba. that she will first
select a pink clip, then a yellow, and then another pink clip?
Click here to see answer by Boreal(15235)

Question 1182179: Question 1 [7 marks]
a) A coin is tossed three times, calculate the probability that exactly two of the three tosses
results in heads.
b) In how many ways can 12 different amino acids be arranged into a polypeptide chain
of five amino acids.
c) A farmer’s herd of cattle consists of three Nguni bulls, two Nguni cows, four Bonsmara
bulls, four Bonsmara cows, five Hereford bulls and four Hereford cows. What is the
probability of selecting at random:
1. A Nguni cow?
2. A cow, if it is a Nguni.
3. A Nguni, if it is a cow.
4. An Angus bull.
d) A Kwazulu-Natal farmer in the area of the Brucellosis outbreak has a herd of 25 cows. Page 2 of 4
Among them 20 are infected and 5 are not. Two cows will be selected from the herd
and tested for Brucellosis. Calculate the probability that the second animal is infected,
given that the first selected animal is infected.
Question 2 [3 marks]
A cage contains eight rats, three of them are white (W) and five of them are brown (B). A
second cage contains five rats, two white and three brown; and a third cage contains five rats,
three white and two brown. If one rat is randomly selected from each cage,
a) What is the probability that all three rats are white?
b) What is the probability that exactly two of the three will be brown?
c) What is the probability of selecting at least one black rat?
Question 3 [3 marks]
A group of dogs consists of three brown females, two brown males, four white females, four
white males, five black females and four black males. What is the probability of selecting at
random:
a) A brown female dog?
b) A female dog, if the dog is brown?
c) A brown dog, if the dog is female?
Page 3 of 4
Question 4 [3 marks]
Three flower seeds are selected from a package that contains 5 seeds for white, 6 seeds for red,
and 4 seeds for yellow flowers. What is the probability that:
a) All 3 seeds produce red flowers?
b) The 3 seeds produce flowers of different colours?
c) The 3 seeds produce flowers of the same colour?
Question 5 [3 marks]
A farm dam contains the following numbers of fishes.
a) What is the relative frequency of each species?
b) Assuming that each individual fish has the same probability of being encountered,
estimate the probability of encountering an African sharptooth catfish.
c) Assuming that each individual fish has the same probability of being encountered,
estimate the probability of encountering a fish belonging to the genus Labeobarbus.
Species Number
African sharptooth catfish (Clarias gariepinus) 15
European carp (Cyprinus carpio) 6
Grass carp (Ctenopharyngodon idella) 9
Smallmouth yellowfish (Labeobarbus aeneus) 8
Largemouth yellowfish (Labeobarbus kimberleyensis) 4
Orange River Mudfish (Labeo capensis) 6
Page 4 of 4
Question 6 [2 marks]
Twelve rats are injected with a certain drug and the number of rats that die within 2 hours is
recorded. Suppose that the probability that exactly 9 rats die is ଵ
ହ
and the probability that 10, 11
or 12 rats die is ଺
ଵଶ
. Find the probability that:
a) 9 or more rats die.
b) 8 or less rats die.
Click here to see answer by greenestamps(13200)

Question 1182186: You toss a fair coin 4 times. What is the probability that (round to 4 decimal places)
a) you get all Heads?
b) you get at least one Tail?
Click here to see answer by math_tutor2020(3816)

Question 1182188: A student conducted a survey at school and found that 75 % of the boys and 65 % of the girls like to watch hockey games. There are an equal number of boys and girls in the school. If someone does not like to watch hockey games, what is the approximate probability that the person is a boy?
Click here to see answer by ikleyn(52778)

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, 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