(5) A discrete random variable X has the probability mass function f(x) = c(x + 1)², x=-1,0, 1. You must show work when answering the following questions. (a) Determine the value of the constant c. (Please double check your answer. We will not give partial credit if you don't get this part right.) (b) Find the mean and the variance of X. (c) Give a formula or a sketch of F(x), the cumulative distribution function 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.CR: Chapter 13 Review
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(5) A discrete random variable X has the probability mass function
f(x) = c(x + 1)², x=-1,0, 1.
You must show work when answering the following questions.
(a) Determine the value of the constant c. (Please double check your answer. We will
not give partial credit if you don't get this part right.)
(b) Find the mean and the variance of X.
(c) Give a formula or a sketch of F(x), the cumulative distribution function of X.
Transcribed Image Text:(5) A discrete random variable X has the probability mass function f(x) = c(x + 1)², x=-1,0, 1. You must show work when answering the following questions. (a) Determine the value of the constant c. (Please double check your answer. We will not give partial credit if you don't get this part right.) (b) Find the mean and the variance of X. (c) Give a formula or a sketch of F(x), the cumulative distribution function of X.
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