5. Find the value of k such that f(x) is a probability density function. Find also, P(X ≤ 1.5). (kx f(x)=k (k(3-x) 0≤x≤1 1≤x≤2 2≤x≤3

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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5. Find the value of k such that f(x) is a probability density function. Find
also, P(X ≤ 1.5).
(kx
f(x)={k
k(3-x)
0≤x≤1
1≤x≤2
2≤x≤3
Transcribed Image Text:5. Find the value of k such that f(x) is a probability density function. Find also, P(X ≤ 1.5). (kx f(x)={k k(3-x) 0≤x≤1 1≤x≤2 2≤x≤3
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