Let X be a discrete random variable with pmf p given by: -2 -1 0 1 2 1/15 2/15 3/15 4/15 5/15 X p(x) (a) Let Y = X². Find the pmf of Y. (b) Find the value the cdf of X at -1/2, 3/4, 7/8, 1, 1.5, 5. (c) Find the value the cdf of Y at -1/2, 3/4, 7/8, 1, 1.5, 5.

Let X be a discrete random variable with pmf p given by: -2 -1 0 1 2 1/15 2/15 3/15 4/15 5/15 X p(x) (a) Let Y = X². Find the pmf of Y. (b) Find the value the cdf of X at -1/2, 3/4, 7/8, 1, 1.5, 5. (c) Find the value the cdf of Y at -1/2, 3/4, 7/8, 1, 1.5, 5.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 9E

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Question

Let X be a discrete random variable with pmf p given by:
-2 -1 0 1 2
1/15 2/15 3/15 4/15 5/15
X
p(x)
(a) Let Y = X². Find the pmf of Y.
(b) Find the value the cdf of X at -1/2, 3/4, 7/8, 1, 1.5, 5.
(c) Find the value the cdf of Y at -1/2, 3/4, 7/8, 1, 1.5, 5.

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