4. A random variable X with a probability density function f(x) = {xe 0 (xe-x for x > 0 else a. Find the probability that X is between 2 and 4 b Find the probability that the value of X exceeds 3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
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14. A random variable X with a probability density function f(x) =
Sxe-x for x > 0
(
else
a. Find the probability that X is between 2 and 4
b.
Find the probability that the value of X exceeds 3
c. Find the expected value of X
d. Find the Variance of X
Transcribed Image Text:14. A random variable X with a probability density function f(x) = Sxe-x for x > 0 ( else a. Find the probability that X is between 2 and 4 b. Find the probability that the value of X exceeds 3 c. Find the expected value of X d. Find the Variance of X
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