and that fxf(x) dx t) dt.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
![Problem 1
Let X be a random variable with density function f. Suppose that
f(x)=0 for all x < 0 and that fxf(x) dx <∞o. Show that
EX =
P{X>t) dt.
Hint: Write P{X>t) dt in form of a double integral and change the order of integration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4575c695-56bc-4a6a-843f-ec886ca258f2%2F2ec3a6c4-3a6a-43a1-afe4-d740382ca6fd%2Fjluvk1r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 1
Let X be a random variable with density function f. Suppose that
f(x)=0 for all x < 0 and that fxf(x) dx <∞o. Show that
EX =
P{X>t) dt.
Hint: Write P{X>t) dt in form of a double integral and change the order of integration.
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