The density function f(x) = e 3-x /(1 + e 3-x ) 2 is an example of

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The density function f(x) = e3-x/(1 + e3-x)2 is an example of a logistic distribution.
(a) Verify that f is a probability density function.
(b) Find P(3 < X < 4).
(c) Graph f. What does the mean appear to be? What about the median?

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