Q1. The cumulative distribution function of the random variable X is F(x) = 0, (+1)², 1- (1-2)², 1, for x < -1 for -1 < x≤0 for 0 < x <1 for x > 1 (a) Compute P(0.5 ≤ x ≤1)¶ (b) What is the probability-density function of X.?

MATLAB: An Introduction with Applications
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Q1. The cumulative distribution function of the random variable X is
F(x) =
0,
(x+1)²,
1- (1-2)²,
1,
for x < -1
for −1 < x≤0
for 0<x< 1
for x > 1
(a) Compute-P(0.5 < X <1)¶
(b) What is the probability density function of X.?
Transcribed Image Text:Q1. The cumulative distribution function of the random variable X is F(x) = 0, (x+1)², 1- (1-2)², 1, for x < -1 for −1 < x≤0 for 0<x< 1 for x > 1 (a) Compute-P(0.5 < X <1)¶ (b) What is the probability density function of X.?
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