Let X̅ be the mean of a 50-person random sample taken from a population with a mean of 112 and a standard deviation of 40. a. Calculate the mean and standard deviation of X̅. b. Calculate the likelihood that X̅ will take on a value between 110 and 114. c. Calculate the likelihood that X̅ will have a value larger than 113.
Let X̅ be the mean of a 50-person random sample taken from a population with a mean of 112 and a standard deviation of 40. a. Calculate the mean and standard deviation of X̅. b. Calculate the likelihood that X̅ will take on a value between 110 and 114. c. Calculate the likelihood that X̅ will have a value larger than 113.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let X̅ be the mean of a 50-person random sample taken from a population with a mean of
112 and a standard deviation of 40.
a. Calculate the mean and standard deviation of X̅.
b. Calculate the likelihood that X̅ will take on a value between 110 and 114.
c. Calculate the likelihood that X̅ will have a value larger than 113.
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