c. Let X be a continuous random variable with the cumulative distribution function: if x < 0 1 if 0 < x < 1 2 F(x) : + (x – 1) if 1

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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c. Let X be a continuous random variable with the cumulative distribution function:
if x < 0
1
if 0 < x < 1
F(x) :
2
1
+
(x – 1) if 1< x < 3
4
1
if x 2 3
Find the mean and variance of X.
Transcribed Image Text:c. Let X be a continuous random variable with the cumulative distribution function: if x < 0 1 if 0 < x < 1 F(x) : 2 1 + (x – 1) if 1< x < 3 4 1 if x 2 3 Find the mean and variance of X.
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