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According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters μ and o: X=271,o= 14.8 X~N Select an answer F T N B X² unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. 0.7982 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the original population is normally distributed Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown to describe the probability distribution of X and state its parameters μ and ox: (Round the answers to 1 decimal place) X ~IN (Ax = 271 x = 2.5 and find the probability that the average length of pregnancy for a sample of 36 randomly selected females

According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters μ and o: X=271,o= 14.8 X~N Select an answer F T N B X² unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. 0.7982 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the original population is normally distributed Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown to describe the probability distribution of X and state its parameters μ and ox: (Round the answers to 1 decimal place) X ~IN (Ax = 271 x = 2.5 and find the probability that the average length of pregnancy for a sample of 36 randomly selected females

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 4 only answer the boxed ones According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters μ and σ: (μ=271 ✓,0= 14.8 ✔ X~N Select an answer unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. www www. +++++ 0.7982 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the original population is normally distributed Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population unknown to describe the probability distribution of X and state its parameters and ox: (Round the answers to 1 decimal place) X~N ✓✓ (HX and find the probability that the average length of pregnancy for a sample of 36 randomly selected females is more than 278 days. 271 x = 2.5 0.0023 x (Round the answer to 4 decimal places)
Transcribed Image Text:Question 4 only answer the boxed ones According to a study, the length of pregnancy of a randomly selected female has an unknown distribution with a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and let X be the average length of pregnancy for a random sample of size 36. 1. Describe the probability distribution of X and state its parameters μ and σ: (μ=271 ✓,0= 14.8 ✔ X~N Select an answer unknown and find the probability that the length of pregnancy for a randomly selected female is between 246 and 286 days. www www. +++++ 0.7982 x (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem the original population is normally distributed Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population unknown to describe the probability distribution of X and state its parameters and ox: (Round the answers to 1 decimal place) X~N ✓✓ (HX and find the probability that the average length of pregnancy for a sample of 36 randomly selected females is more than 278 days. 271 x = 2.5 0.0023 x (Round the answer to 4 decimal places)
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