8. Suppose 4x if 0 ≤ x ≤ 1/2 f(x) = (4(1-x) if 1/2 < x ≤ 1 Show that this is a probability density function. 7. Let X be a continuous random variable and let α- 1 f(x) be its probability density function. For what values of a does E(X) exist?
8. Suppose 4x if 0 ≤ x ≤ 1/2 f(x) = (4(1-x) if 1/2 < x ≤ 1 Show that this is a probability density function. 7. Let X be a continuous random variable and let α- 1 f(x) be its probability density function. For what values of a does E(X) exist?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)
Transcribed Image Text:8. Suppose
4x
if 0 ≤ x ≤ 1/2
f(x) =
(4(1-x) if 1/2 < x ≤ 1
Show that this is a probability density function.
Transcribed Image Text:7. Let X be a continuous random variable and let
α- 1
f(x)
be its probability density function. For what values of a does E(X) exist?
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