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

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Question 1200246: A die is rolled. Find the probability of the given event.
(a) The number showing is a 3;
The probability is :
(b) The number showing is an even number;
The probability is :
(c) The number showing is greater than 5;
The probability is :

Click here to see answer by Fombitz(32388) About Me 

Question 1200242: Summary of numerical data for the individuals with lead levels less than 40 µg/ 100ml from the El Paso case study of the American Smelting and Refining Company (ASARCO).
Lead levels < 40 µg/100ml
Variable Mean (Standard Deviation) Median (IQR) N
Demographics Age
Exposure Total Number of Years Spent Within 4.1 Miles of Smelter
IQ IQ Verbal
IQ Performance
IQ Full
Finger Tap Plate Taps for Right Hand
Plate Taps for Left Hand
Visual Reaction Time for Right Hand
Visual Reaction Time for Left Hand
Auditory Reaction Time for Right Hand
Auditory Reaction Time for Left Hand
Finger-Wrist Tapping Test Right Hand
Finger-Wrist Tapping Test Left Hand
NOTE:
Can put both 1972&73 in one table or separate tables
Creat tables for Categorical variables [ frequencies in form of n(%)] separately from Continuous variables [ mean+STD or Median+IQR]

Click here to see answer by ikleyn(52754) About Me 

Question 1200240: or another subject ( a 29yr old male) in the study by Diskin et al (A-10), acetone levels were
normally distributed with a mean of 870 and a standard deviation of 211ppb. Find the
probability that on a given day the subject’s acetone level is ;
a) Between 600 and 1000 ppb
b) Over 900 ppb
c) Under 500ppb
d) Between 900 and 1100ppb

Click here to see answer by ikleyn(52754) About Me 

Question 1200273: Suppose you roll a pair of six-sided dice and add their totals. The probability model is given below.
Sum 2 3 4 5 6 7 8 9 10 11 12
Probability 1/36 1/18 1/12 1/9 5/36 1/6 5/36 1/9 1/12 1/18 1/136

(a) What is the probability that the sum of the numbers on your dice is a number other than 12?

EXPLANATION:
The numbers at the top are supposed to be a table. The sum is the top and probability are the bottom. The numbers are aligned (Ex. 2 and 1/36, 3 and 1/18, and so on)

Click here to see answer by math_tutor2020(3816) About Me 
Question 1200273: Suppose you roll a pair of six-sided dice and add their totals. The probability model is given below.
Sum 2 3 4 5 6 7 8 9 10 11 12
Probability 1/36 1/18 1/12 1/9 5/36 1/6 5/36 1/9 1/12 1/18 1/136

(a) What is the probability that the sum of the numbers on your dice is a number other than 12?

EXPLANATION:
The numbers at the top are supposed to be a table. The sum is the top and probability are the bottom. The numbers are aligned (Ex. 2 and 1/36, 3 and 1/18, and so on)

Click here to see answer by ikleyn(52754) About Me 

Question 1200099: 13. A pharmaceutical firm claims that a new analgesic drug relieves mild pain under standard conditions for 3 hours, with a standard deviation 1 hour. Sixteen patients are tested under the same conditions and have an average pain relief time of 2.5 hours. Test the hypothesis that the population mean of this sample is actually 3 hours. Use ( =0.05). Try to follow all steps in hypothesis testing.
Click here to see answer by Theo(13342) About Me 

Question 1200127: I'd say A Becuase depending on the day/days they were received some could be and some couldnt be. (Sorry if this doesnt makes sense!)

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Question 1200127: I'd say A Becuase depending on the day/days they were received some could be and some couldnt be. (Sorry if this doesnt makes sense!)

Click here to see answer by math_tutor2020(3816) About Me 

Question 1200282: A sample of n = 10 scores has a mean of M = 7. One score in sample is changed from X = 21 to X = 11. What is the value of the new sample mean?
The new sample mean is
.

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Question 1200285: According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. (Round all answers to 3 places after the decimal point, if necessary.)
(a) Compute the probability that a randomly selected peanut M&M is not brown.
P(not brown) =

(b) Compute the probability that a randomly selected peanut M&M is yellow or red.
P(yellow or red) =

(c) Compute the probability that three randomly selected peanut M&M’s are all green.
P(all green) =

(d) If you randomly select six peanut M&M’s, compute the probability that none of them are yellow.
P(none are yellow) =

(e) If you randomly select six peanut M&M’s, compute the probability that at least one of them is yellow.
P(at least one is yellow) =

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Question 1200284: At a drug rehab center 35% experience depression and 30% experience weight gain. 11% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.)
a. experiences neither depression nor weight gain.
b. experiences depression given that the patient experiences weight gain.
c. experiences weight gain given that the patient experiences depression.
(round to 4 decimal places)
d. Are depression and weight gain mutually exclusive?
yes
no
e. Are depression and weight gain independent?
yes
no

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Question 1200284: At a drug rehab center 35% experience depression and 30% experience weight gain. 11% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.)
a. experiences neither depression nor weight gain.
b. experiences depression given that the patient experiences weight gain.
c. experiences weight gain given that the patient experiences depression.
(round to 4 decimal places)
d. Are depression and weight gain mutually exclusive?
yes
no
e. Are depression and weight gain independent?
yes
no

Click here to see answer by ikleyn(52754) About Me 

Question 1200287: For a standard normal distribution, find:
P(-2.24 < z < 0.12)

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Question 1200288: On the campus of Central Louisiana College, a student survey found that 48%
of the students were born in Louisiana. Also, 26%
of the students were born in Louisiana and work part-time.
If a student is selected at random, find the probability that they work part-time, given that they were born in Louisiana.

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Question 1200288: On the campus of Central Louisiana College, a student survey found that 48%
of the students were born in Louisiana. Also, 26%
of the students were born in Louisiana and work part-time.
If a student is selected at random, find the probability that they work part-time, given that they were born in Louisiana.

Click here to see answer by ikleyn(52754) About Me 

Question 1200294: The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1000 and the standard deviation is $85.
Click here to see answer by math_tutor2020(3816) About Me 

Question 1200295: A manufacturer knows that their items have a normally distributed length, with a mean of 13.5 inches, and standard deviation of 3.1 inches.
If one item is chosen at random, what is the probability that it is less than 7.9 inches long?

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Question 1200295: A manufacturer knows that their items have a normally distributed length, with a mean of 13.5 inches, and standard deviation of 3.1 inches.
If one item is chosen at random, what is the probability that it is less than 7.9 inches long?

Click here to see answer by ikleyn(52754) About Me 

Question 1200297: A particular fruit's weights are normally distributed, with a mean of 376 grams and a standard deviation of 26 grams.
If you pick one fruit at random, what is the probability that it will weigh between 444 grams and 458 grams

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Question 1200304: For a standard normal distribution, find:
P(-0.4 < z < 2.26)

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Question 1200310: Dwayne and Lloyd began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Dwayne took a test in Science and earned a 78.6, and Lloyd took a test in Math and earned a 65.5. Use the fact that all the students' test grades in the Science class had a mean of 73.5 and a standard deviation of 10.4, and all the students' test grades in Math had a mean of 62.8 and a standard deviation of 11.1 to answer the following questions.
Calculate the z-score for Dwayne's test grade.
Calculate the z-score for Lloyd's test grade.

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Question 1200321: the pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 267 days and a standard deviation of days. ​(a) What is the minimum pregnancy length that can be in the top 12​% of pregnancy​ lengths? ​(b) What is the maximum pregnancy length that can be in the bottom 7​% of pregnancy​ lengths?
Click here to see answer by ikleyn(52754) About Me 

Question 1200325: A statistics textbook chapter contains 60 exercises, 6 of which are essay questions. A student is assigned 10 problems.
What is the probability that at least one is essay?

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Question 1200330: A pianist plans to play 6 pieces at a recital from her repertoire of 19 pieces. How many different recital programs are possible?
Click here to see answer by ikleyn(52754) About Me 

Question 1200329: Suppose a designer has a palette of 10 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.
How many possible flags can be created?

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Question 1200327: Tickets for a raffle cost $15. There were 621 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1800. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Expected Value = $

Click here to see answer by ikleyn(52754) About Me 

Question 1200326: An urn contains 7 red marbles, 6 white marbles and 10 blue marbles. A child randomly selects three (without replacement).
Find the probability all have the same color.

Find the probability that none is white.

Click here to see answer by ikleyn(52754) About Me 

Question 1200322: In a survey, 10 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $36 and standard deviation of $4. Find the margin of error at a 95% confidence level.
Give your answer to three decimal places.

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Question 1200317: Suppose X has a Binomial distribution with n trials, and a probability of success p. The moment generating function for X has been shown to be
MX (t) = (pe^t + (1 − p))^n.
Using this result, find the distribution of the random variable Y for the following moment generating function.
MY (t) = (2+e^t)^5/3^5

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Question 1200342: A box contains 10 chits of which 3 chits are eligible for a prize. A boy named Kathan randomly selects two chits from this box. Find the probability that Kathan gets the prize.
Click here to see answer by ikleyn(52754) About Me 

Question 1200347: A jury pool consists of 31 people, 17 men and 14 women. Compute the probability that a randomly selected jury of 12 people is all male.
Click here to see answer by ikleyn(52754) About Me 

Question 1200352: A bag contains 3 gold marbles, 8 silver marbles, and 20 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.
What is your expected value if you play this game?
$

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Question 1200360: A soft drink vending machine is set to discharge an average of 215ml of cool drink per
cup. The amount discharged is normally distributed with standard deviation 10ml.
(i) If 250ml cups are used what proportion of cups overflow?
(ii) What is the probability that a cup contains at least 200ml of cool drink?
(iii) What size cups ought to be used if it is desirable that only 2% of cups overflow?

Click here to see answer by Shin123(626) About Me 

Question 1200362: Tickets for a raffle cost $15. There were 758 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1300. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Expected Value = $
(PLEASE EXPLAIN) I do not understand, and it would be a lot if the steps were shown.

Click here to see answer by ikleyn(52754) About Me 
Question 1200362: Tickets for a raffle cost $15. There were 758 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1300. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Expected Value = $
(PLEASE EXPLAIN) I do not understand, and it would be a lot if the steps were shown.

Click here to see answer by math_tutor2020(3816) About Me 

Question 1200365: A jury pool consists of 34 people, 17 men and 17 women. Compute the probability that a randomly selected jury of 12 people is all male.


PLEASE EXPLAIN the steps!! I'm so clueless on this question.

Click here to see answer by math_tutor2020(3816) About Me 
Question 1200365: A jury pool consists of 34 people, 17 men and 17 women. Compute the probability that a randomly selected jury of 12 people is all male.


PLEASE EXPLAIN the steps!! I'm so clueless on this question.

Click here to see answer by ikleyn(52754) About Me 

Question 1200353: A company estimates that 0.3% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $350.
If they offer a 2 year extended warranty for $29, what is the company's expected value of each warranty sold?
$

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Question 1200357: 10% of motor vehicle parts produced by a certain supplier are defective. What is
the probability that the sample of 10 parts contains
(i) Three defective parts
(ii) At most 2 defective parts
(iii) At least 2 defective parts

Click here to see answer by Alan3354(69443) About Me 

Question 1200383: Classify each as a continuous or a discrete variable.
a) Length of a soccer field.
b) Heights of students in your class.

Click here to see answer by MathLover1(20849) About Me 
Question 1200383: Classify each as a continuous or a discrete variable.
a) Length of a soccer field.
b) Heights of students in your class.

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Question 1200384: x P(x)
0 0.08
1 0.09
2 0.1
3 0.13
4 0.15
5 0.14
6 0.31
Find P(x ≥ 5)

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Question 1200387: A normal distribution has 𝜇 = 26 and 𝜎 = 5.
(a) Find the z score corresponding to
x = 21.


(b) Find the z score corresponding to
x = 40.


(c) Find the raw score corresponding to
z = −2.


(d) Find the raw score corresponding to
z = 1.9.



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Question 1199897: 2.A doctor claims that about 30 percent of all persons exposed to a certain amount of radiation will feel any ill effects. Among 19 randomly selected samples who were exposed to radiation, only 1 felt any ill effects.
A.Construct the 95% confidence interval for the population proportion?
B.Test whether the proportion of population who are exposed to radiation fell any ill effect is less than doctor’s claim α = .05 level of significance?
test the null hypothesis θ = 0.30 against the alternative hypothesis θ < 0.30 at the α = .05 significance level

Click here to see answer by Theo(13342) About Me 

Question 1200401: Gianna buys a bag of cookies that contains 5 chocolate chip cookies, 9 peanut butter cookies, 4 sugar cookies and 6 oatmeal cookies.
What is the probability that Gianna reaches in the bag and randomly selects 2 sugar cookies from the bag? Round your answer to four decimal places.

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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, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 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