The discrete random variable X has probability mass function kx x 2,3 x+1' 2kx P(X =x) = x=4,5 x-1' 0,otherwise. a. Find the value of k. b. Find the variance of X.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 28E
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The discrete random variable X has probability mass function
kx
x= 2,3
x'+1'
2kx
P(X =x) =
x=4,5
x-1'
0,otherwise.
a.
Find the value of k.
b.
Find the variance of X.
Transcribed Image Text:The discrete random variable X has probability mass function kx x= 2,3 x'+1' 2kx P(X =x) = x=4,5 x-1' 0,otherwise. a. Find the value of k. b. Find the variance of X.
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