7. The cumulative distribution function of a random variable X is = - 1 − (1 + ��)�♦ −��, �♦ > 0. Find the probability density function of X, mean and variance.

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
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7. The cumulative distribution function of a random
variable X is
=
-
1 − (1 + ��)�♦ −��, �♦ > 0.
Find the probability density function of X, mean and
variance.
Transcribed Image Text:7. The cumulative distribution function of a random variable X is = - 1 − (1 + ��)�♦ −��, �♦ > 0. Find the probability density function of X, mean and variance.
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