Let X be uniformly distributed over the interval (-1, 1) and Y be a Bernoulli random variable with parameter p = 0.5. Assume that X and Y are independent of each other. (a) (b) Find and plot the PDF of Z = |X|. Carefully label your plot. Find and plot the PDF of S = X + Y. Carefully label your plot.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Let X be uniformly distributed over the interval (-1, 1) and Y be a Bernoulli random
variable with parameter p = 0.5. Assume that X and Y are independent of each other.
(a)
(b)
Find and plot the PDF of Z = |X|. Carefully label your plot.
Find and plot the PDF of S = X + Y. Carefully label your plot.
Transcribed Image Text:Let X be uniformly distributed over the interval (-1, 1) and Y be a Bernoulli random variable with parameter p = 0.5. Assume that X and Y are independent of each other. (a) (b) Find and plot the PDF of Z = |X|. Carefully label your plot. Find and plot the PDF of S = X + Y. Carefully label your plot.
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