Answered: What are the mean and standard…

Math

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What are the mean and standard deviation of x_av?

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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Question

Let X be a random variable with mean value M(X)=m and standard deviation D(X)=sigma. We make n measurements of X: x_1, ..., x_n, and calculate the average x_av of them. What are the mean and standard deviation of x_av?

A)M(x_av) = m/n and D(x_av) = sigma/sqrt(n)

B)M(x_av) = m/n and D(x_av) = sigma/n

C)M(x_av) = m and D(x_av) = sigma/sqrt(n)

D)M(x_av) = m and D(x_av) = sigma*sigma/n

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