(a) Find the probability mass function, p(x) = P(X = x). (b) Find the expected value, variance and the standard deviation of X.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Let X be the discrete random variable with the cumulative distribution function F(x) given as follows.

0,
for - 3.75 < x < 0.5,
for x < -3.75,
0.3,
F(x) =
0.6,
for 0.5 < x < 4.5,
1,
for 4.5 < x.
(a) Find the probability mass function, p(x) = P(X = x).
%3D
(b) Find the expected value, variance and the standard deviation of X.
Transcribed Image Text:0, for - 3.75 < x < 0.5, for x < -3.75, 0.3, F(x) = 0.6, for 0.5 < x < 4.5, 1, for 4.5 < x. (a) Find the probability mass function, p(x) = P(X = x). %3D (b) Find the expected value, variance and the standard deviation of X.
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