Given an event A C S, define a random variable X by: { 1 1 if s E A, A. 0 if s X(s) = =

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.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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Exercise 4. Given an event A C S, define a random variable X by:
if s E A,
X (s) = {
1
0 if s A.
We call X an indicator variable. X(s) indicates whether the input s is in A or not.
(a) Write down expression for probability mass function f(x), in terms of P(A).
(b) Find the expectation E(X).
Transcribed Image Text:Exercise 4. Given an event A C S, define a random variable X by: if s E A, X (s) = { 1 0 if s A. We call X an indicator variable. X(s) indicates whether the input s is in A or not. (a) Write down expression for probability mass function f(x), in terms of P(A). (b) Find the expectation E(X).
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