he distributión function of the random variable X iS given by 1-(1+x)e for x>0 for xS0 F(x) = Find P(X S2), P(1 4). 38. With reference to Exercise 37, find the probability density of X.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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 37 and 38.

37. The distribution function of the random variable X is
given by
J1-(1+x)e-* for x >0
for xS0
F(x) =
Find P(X S2), P(1 <X <3), and P(X > 4).
38. With reference to Exercise 37, find the probability
density of X.
Transcribed Image Text:37. The distribution function of the random variable X is given by J1-(1+x)e-* for x >0 for xS0 F(x) = Find P(X S2), P(1 <X <3), and P(X > 4). 38. With reference to Exercise 37, find the probability density of X.
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