Problem 2 Let X be a continuous random variable with the following PDF -4x fx(x) = ce x > 0 %3D otherwise where c is a positive constant. a. Find c. b. Find the CDF of X, Fx(x). c. Find P(2 < X < 5).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 2
Let X be a continuous random variable with the following PDF
ce 4r
x > 0
fx(x) =
otherwise
where c is a positive constant.
a. Find c.
b. Find the CDF of X, Fx(x).
c. Find P(2 < X < 5).
d. Find EX.
pe here to search
BA
Transcribed Image Text:Problem 2 Let X be a continuous random variable with the following PDF ce 4r x > 0 fx(x) = otherwise where c is a positive constant. a. Find c. b. Find the CDF of X, Fx(x). c. Find P(2 < X < 5). d. Find EX. pe here to search BA
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