Let the random variable X represent the number of purple marbles selected when a group of 4 marbles are selected from 20 marbles, of which 8 are purple, 6 are sky blue, and 6 are white The probability mass function X is given below. xx P(X=x) 495/4845 1760/4845 a) Find the means or expected value of the variable X b) Find the variance of and standard devitation or for the random variable X 2 1848/4545 3 672/4845 70/4845

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let the random variable X represent the number of purple marbles selected when a group of 4 marbles are selected from 20 marbles, of which 8 are purple, 6 are sky blue, and
6 are white
The probability mass function X is given below.
Xex
PIX=x)
495/4845
1
1760/4845
a) Find the mean u, or expected value of the variable X
b) Find the variance of and standard devitation a for the random variable X
2
1848/4845
3
672/4845
4
70/4845
Transcribed Image Text:Let the random variable X represent the number of purple marbles selected when a group of 4 marbles are selected from 20 marbles, of which 8 are purple, 6 are sky blue, and 6 are white The probability mass function X is given below. Xex PIX=x) 495/4845 1 1760/4845 a) Find the mean u, or expected value of the variable X b) Find the variance of and standard devitation a for the random variable X 2 1848/4845 3 672/4845 4 70/4845
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