Question 4According to a study, the length of pregnancy of a randomly selected female has an unknown distributionwith a mean of 271 days and a standard deviation of 14.8 days. Let X be the length of pregnancy for arandomly 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:X~ unknown(f=2. Use the Central Limit Theorem=and find the probability that the length of pregnancy for a randomly selected female is between 246 and286 days.2710.7983 x (Round the answer to 4 decimal places)(HXσ= 14.8the sample size is large (n>30) although the distribution of the original population is unknownto describe the probability distribution of X and state its parameters x and ox: (Round the answers to 1decimal place)X ~Nox 2.5and find the probability that the average length of pregnancy for a sample of 36 randomly selected femalesis more than 278 days.=2710.0026 (Round the answer to 4 decimal places)

GivenMean(μ)=271standard deviation(σ)=14.8sample size(n)=36

Answered: According to a study, the length of…

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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