If you have the following pdf: (k(6x - x²) f(x)=9k(5-x) 0 a. Find the value of k. b. Obtain the cumulative distribution function of X c. Find P(X < 3). d. Find P(X2|X ≤ 5). 0 ≤ x ≤3 3≤ x ≤5 otherwise

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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If you have the following pdf:
(k(6x - x²)
f(x)=9k(5-x)
0 < x <3
3≤ x ≤5
otherwise
0
a.
Find the value of k.
b. Obtain the cumulative distribution function of X
c. Find P(X < 3).
<
d. Find P(X2|X ≤ 5).
Transcribed Image Text:If you have the following pdf: (k(6x - x²) f(x)=9k(5-x) 0 < x <3 3≤ x ≤5 otherwise 0 a. Find the value of k. b. Obtain the cumulative distribution function of X c. Find P(X < 3). < d. Find P(X2|X ≤ 5).
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