The discrete random variable, X takes on integer values, 2, 3, 4, 5, 6, ... and its probability mass function is given by { P(X = x) = x-1 Answer: Calculate E(X), the expected value of X to two decimal places. You may make use of the following relationship if needed: 00 Σ kak = = k=1 x = 2,3,4,5,6,... otherwise a (1-a)² for a < 1

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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The discrete random variable, X takes on integer values, 2, 3, 4, 5, 6, ... and its probability mass function is given by
x-1
{G)**
x = 2, 3, 4, 5, 6, ...
0
otherwise
Calculate E(X), the expected value of X to two decimal places. You may make use of the following relationship if needed:
Σ
for la| < 1
P(X = x) =
kak =
Answer:
a
(1-a)²
Transcribed Image Text:The discrete random variable, X takes on integer values, 2, 3, 4, 5, 6, ... and its probability mass function is given by x-1 {G)** x = 2, 3, 4, 5, 6, ... 0 otherwise Calculate E(X), the expected value of X to two decimal places. You may make use of the following relationship if needed: Σ for la| < 1 P(X = x) = kak = Answer: a (1-a)²
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