a random variable has the following probability density function f(x) = k, 0, (2k, for 0 < x < 1 for 1 ≤ x < 2 elsewhere ) Find k, (b) find the probability distribution function F(x), (c) Find the probability that that e random variable takes on a value between 0.5 and 1.5, (d) find the mean and the variance or this probability density.
a random variable has the following probability density function f(x) = k, 0, (2k, for 0 < x < 1 for 1 ≤ x < 2 elsewhere ) Find k, (b) find the probability distribution function F(x), (c) Find the probability that that e random variable takes on a value between 0.5 and 1.5, (d) find the mean and the variance or this probability density.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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
Transcribed Image Text:If a random variable has the following probability density function
for 0 < x < 1
for 1 < x < 2
elsewhere
0,
(a) Find k, (b) find the probability distribution function F(x), (c) Find the probability that that
the random variable takes on a value between 0.5 and 1.5, (d) find the mean and the variance
for this probability density.
(2k,
f(x) = k₁
k,
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