A committee with 3 members is to be chosen randomly from 5 boys and 7girls and count the number of girls on the committee.a) Identify the two groups.b) In words, describe the random variable X.c) List the values of the random variable X takes on.d) What is the expected number of girls on the committee?e) Determine the standard deviation of the number of girls in thecommittee.

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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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Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has noeffect, so the probability of a girl is 0.5. Assume that the groups consist of 32 couples. Complete parts (a) through (c) below. Find the mean and the standard deviation for the numbers of girls in groups of 32 births.
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