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Suppose the parent population X from which we are about to sample is exponential with E(X) = 2. Let X denotes the sample mean with a sample sizen = 36 %3D

Suppose the parent population X from which we are about to sample is exponential with E(X) = 2. Let X denotes the sample mean with a sample sizen = 36 %3D

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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Suppose the parent population X from which we are about to sample is exponential with E(X) = 2. Let X denotes the sample mean with a sample size n = 36 1) Find the expected value of the sample mean: E(X) 2) Find the standard deviation of the sample mean: o(X) 3) Give the approximation distribution of X, and explain why this approximation is valid. 4) What is the probability that X is between 1.0 and 2.5?
Transcribed Image Text:Suppose the parent population X from which we are about to sample is exponential with E(X) = 2. Let X denotes the sample mean with a sample size n = 36 1) Find the expected value of the sample mean: E(X) 2) Find the standard deviation of the sample mean: o(X) 3) Give the approximation distribution of X, and explain why this approximation is valid. 4) What is the probability that X is between 1.0 and 2.5?
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