(a) A random variable X is defined as the larger of the scores obtained in two throws of an unbiased, six-sided, die. Show that (2x – 1) 36 Pr(X = x) = x = 1, 2, . . . , 6.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
Question
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(a) A random variable X is defined as the larger of the scores obtained in two throws of an
unbiased, six-sided, die. Show that
(2x - 1)
36
Pr(X = x) =
x = 1, 2, . ..,
6.
(b) A random variable Y is defined as the highest score obtained in k independent throws of
an unbiased, six-sided, die. Find an expression for the probability function of Y.
Transcribed Image Text:(a) A random variable X is defined as the larger of the scores obtained in two throws of an unbiased, six-sided, die. Show that (2x - 1) 36 Pr(X = x) = x = 1, 2, . .., 6. (b) A random variable Y is defined as the highest score obtained in k independent throws of an unbiased, six-sided, die. Find an expression for the probability function of Y.
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