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1. Let X have the probability density function f(x) = cr(1-r) for 0≤x≤1 and f(x) = 0 otherwise. (a) Show that c = 6. (b) Find the cumulative distribution function F(x) = P(X ≤ r). (c) Calculate P(.1 < X <.5). (d) Find the mean, variance and standard deviation of X.

1. Let X have the probability density function f(x) = cr(1-r) for 0≤x≤1 and f(x) = 0 otherwise. (a) Show that c = 6. (b) Find the cumulative distribution function F(x) = P(X ≤ r). (c) Calculate P(.1 < X <.5). (d) Find the mean, variance and standard deviation of X.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. Let X have the probability density function f(x) = cr(1-x) for 0≤x≤ 1 and f(x) = 0 otherwise. (a) Show that c = 6. (b) Find the cumulative distribution function F(x) = P(X ≤r). (c) Calculate P(.1 < X < .5). (d) Find the mean, variance and standard deviation of X.
Transcribed Image Text:1. Let X have the probability density function f(x) = cr(1-x) for 0≤x≤ 1 and f(x) = 0 otherwise. (a) Show that c = 6. (b) Find the cumulative distribution function F(x) = P(X ≤r). (c) Calculate P(.1 < X < .5). (d) Find the mean, variance and standard deviation of X.
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