[Strait, P137, #5] Let X be a discrete random variable with cumulative distribution for x < 1 for 1

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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[Strait, P137, #5] Let X be a discrete random variable with cumulative distribution
for x < 1
for 1<x<3
for 3 < x < 5
for 5 ≤ x < 5.5
F(x) =
0
.1
.4
.9
1.0
for x 5.5
(a) Find P(X ≤ 3), P(X ≤ 4), P(1.5 < X < 5.2), P(X = 3), P(X = 3.5).
(b) Find the probability function of X.
Transcribed Image Text:[Strait, P137, #5] Let X be a discrete random variable with cumulative distribution for x < 1 for 1<x<3 for 3 < x < 5 for 5 ≤ x < 5.5 F(x) = 0 .1 .4 .9 1.0 for x 5.5 (a) Find P(X ≤ 3), P(X ≤ 4), P(1.5 < X < 5.2), P(X = 3), P(X = 3.5). (b) Find the probability function of X.
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