binomial distribution for the counts with the same number of trials, n, and probability of success, p. Be sure to derive the formulas for the mean and standard deviations of the binomial distribution for the proportion,p(hat)x.Use the fact that if the random variable X= {1,2,3...n}, then the random variable p(hat)x={0/n, 1/n, 2/n...n/n=1} or, rather, that every value of the first variable has been multiplied

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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7 Create an example, comparing what a binomial distribution for the proportion, p(hat)x , looks like and its relationship to the binomial distribution for the counts with the same number of trials, n, and probability of success, p. Be sure to derive the formulas for the mean and standard deviations of the binomial distribution for the proportion,p(hat)x.Use the fact that if the random variable X= {1,2,3...n}, then the random variable p(hat)x={0/n, 1/n, 2/n...n/n=1} or, rather, that every value of the first variable has been multiplied by 1/n.
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