Questions:1. A random variable is normally distributed with a mean of 45 and a variance of 144.(a). What is the probability the random variable will assume a value greater than 48?(b). What is the probability the random variable will assume a value less than 44?2. The Economic Policy Institute reported that entry level wages for male college graduates were$21.68 per hour and for female college graduates were $18.80 per hour in 2011. Assume thestandard deviation for male graduates is $2.30, and for female graduates it is $2.05.(a). What is the probability that a sample of 50 male graduates will provide a sample mean within$.50 of the population mean, $21.68?(b). What is the probability that a sample of 100 female graduates will provide a sample mean morethan $.20 below the population mean?

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Answered: 1. A random variable is normally…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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1. A random variable is normally distributed with a mean of 45 and a variance of 144. (a). What is the probability the random variable will assume a value greater than 48? (b). What is the probability the random variable will assume a value less than 44?