The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7.4mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible.a. What is the distribution of x? ¤ - N(b. For the group of 44, find the probability that the average hand length is more than 187.c. Find the first quartile for the average adult male hand length for this sample size.d. For part b), is the assumption that the distribution is normal necessary? O YesO No

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.3 mm. Suppose that 46 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ¤ - N( b. For the group of 46, find the probability that the average hand length is more than 188. c. Find the third quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O YesO No Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums 2 [+]
Please answer B, C, & D.
Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births. Click the icon to view the data table. The mean is u= girl(s). (Round to one decimal place as needed.) The standard deviation is o = e# girl(s). (Round to one decimal place as needed.) Table of numbers of girls and probabilities Number of Girls x 0 1 2 3 4 5 6 7 8 átv P(x) 0.004 0.034 0.117 0.218 0.278 0.217 0.102 0.027 0.003 D - X NiZ Next
> Question 4 The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - N( b. For the group of 7, find the probability that the average hand length is more than 188. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O No Yes Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+] • Finding Value Given a Probability Using the Central Limit Theorem [+] . The Central Limit Theorem For ns [+] Hint Submit Question 40 % $ R 5 16 T 4- ^ 6 4+ Y 90 & BA 7 * U 19 144 8 ly 1 tio C I DII 9 DDI O P A
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The average price of a college math textbook is $165 and the standard deviation is $25. Suppose that 10 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. For the group of 10, find the probability that the average price is between $162 and $170. c. Find the third quartile for the average textbook price for this sample size. $ the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? O No Yes (round to
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The average price of a college math textbook is $154 and the standard deviation is $20. Suppose that 43 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of x? x NO b. For the group of 43, find the probability that the average price is between $152 and $157. c. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)
The lengths of adult males' hands are normally distributed with mean 191 mm and standard deviation is 7.4 mm. Suppose that 8 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of x? ¤ - N( b. For the group of 8, find the probability that the average hand length is less than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes
Please answer A, B, & C.
Part C only please. Thank you!
The average price of a college math textbook is $167 and the standard deviation is $21. Suppose that 9 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? I N( b. For the group of 9, find the probability that the average price is between $160 and $164. c. Find the third quartile for the average textbook price for this sample size. S (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? Yes No

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