Consider the following probability density function f(x): f (x) 1 1 e* for 0 < a < 2 -2 e (a) Find the cumulative distribution function of X. In other words, what is F(x)? (b) Find the mean of X. (c) Find P(X> 1).

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
Section13.1: Continuous Probability Models
Problem 35E
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Consider the following probability density function f(x):
f (x)
1
1
e* for 0 < a < 2
e
-2
(a) Find the cumulative distribution function of X. In other words, what is F(x)?
(b) Find the mean of X.
(c) Find P(X> 1).
Transcribed Image Text:Consider the following probability density function f(x): f (x) 1 1 e* for 0 < a < 2 e -2 (a) Find the cumulative distribution function of X. In other words, what is F(x)? (b) Find the mean of X. (c) Find P(X> 1).
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