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).

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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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