A random variable X is distributed according to pdf fx(x) given below 1 fx Cx) -K K a) Find the value of K. b) Determine P(X > 1/2) c) Determine P(X > 0|x < 1/2)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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A random variable X is distributed according to pdf fx(x) given below
fx (x)
1
-K
K
a) Find the value of K.
b) Determine P(X > 1/2)
c) Determine P(X > 0]x < 1/2)
d) What is the conditional pdf fx(x\x > 1/2) ?
e) What is the conditional expectation E{X | x > 1/2} ?
Transcribed Image Text:A random variable X is distributed according to pdf fx(x) given below fx (x) 1 -K K a) Find the value of K. b) Determine P(X > 1/2) c) Determine P(X > 0]x < 1/2) d) What is the conditional pdf fx(x\x > 1/2) ? e) What is the conditional expectation E{X | x > 1/2} ?
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