(3) Let A < 0 be a parameter. Show that the function if r 20 if a <0 f(r) = is a probability density function. (4) Recall that, given a probability distribution function f, its mean is | #f(z)dr. Compute the mean of the probability distribution from the pre- vious item.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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(3) Let A <0 be a parameter. Show that the function
Je- if a 20
f(x) =
if r < 0
is a probability density function.
(4) Recall that, given a probability distribution function f, its mean
is
| af(z)dr.
Compute the mean of the probability distribution from the pre-
vious item.
Transcribed Image Text:(3) Let A <0 be a parameter. Show that the function Je- if a 20 f(x) = if r < 0 is a probability density function. (4) Recall that, given a probability distribution function f, its mean is | af(z)dr. Compute the mean of the probability distribution from the pre- vious item.
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