1. Roll two fair dice. Let X1 = value on the first die and let X2 = value on the second die. For each of the variables below, find the expected value and the variance of the variable. Note: in HW 3 you found the pmf and cdf of these random variables. a) Y= X1 + X2, the sum of the scores b) U= min{X1,X2} , the minimum score c) V= max{X1,X2}, the maximum score

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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1. Roll two fair dice. Let X1 = value on the first die and let X2 = value on the second die. For each of the
variables below, find the expected value and the variance of the variable. Note: in HW 3 you found
the pmf and cdf of these random variables.
a) Y = X1 + X2, the sum of the scores
b) U= min{X1,X2} , the minimum score
c) V= max{X1,X2}, the maximum score
Transcribed Image Text:1. Roll two fair dice. Let X1 = value on the first die and let X2 = value on the second die. For each of the variables below, find the expected value and the variance of the variable. Note: in HW 3 you found the pmf and cdf of these random variables. a) Y = X1 + X2, the sum of the scores b) U= min{X1,X2} , the minimum score c) V= max{X1,X2}, the maximum score
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