The random variable X has CDF Fx(x) x< -3 = 0.4 -3 < x< 5 5 < x <7 = 0.8 = 1 x 27 a) Plot Fx(x). Is X, aDiscrete, Continuous or Mixed rv? b) Find the pdf fx(x) c) Find probabilities P(X = 5), P(3 2) d) Determine E(X) e) Determine Var (X)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The random variable X has CDF
Fx(x)
x< -3
= 0.4
= 0.8
= 1
-3 < x< 5
5 < x <7
x27
a) Plot Fx(x). Is X, atDiscrete, Continuous or Mixed rv?
b) Find the pdf fx(x)
c) Find probabilities P(X = 5), P(3 <X< 5), P(X > 2)
d) Determine E(X)
e) Determine Var (X)
Transcribed Image Text:The random variable X has CDF Fx(x) x< -3 = 0.4 = 0.8 = 1 -3 < x< 5 5 < x <7 x27 a) Plot Fx(x). Is X, atDiscrete, Continuous or Mixed rv? b) Find the pdf fx(x) c) Find probabilities P(X = 5), P(3 <X< 5), P(X > 2) d) Determine E(X) e) Determine Var (X)
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