(a) Find the value of k. (b) Find the cumulative distribution function of X that is F(x). (c) Use F(x) to find Pr(0.5 < z < 1). Id) Find F(x)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Let, X be a continuous random variable with density function
Skx? + x for 0 < x < 1
f(x) =
elsewhere
(a) Find the value of k.
(b) Find the cumulative distribution function of X that is F(x).
(c) Use F(x) to find Pr(0.5 < z < 1).
(d) Find E(x).
(e) Find Var(X).
(f) Find the median of the distribution of X.
Transcribed Image Text:Let, X be a continuous random variable with density function Skx? + x for 0 < x < 1 f(x) = elsewhere (a) Find the value of k. (b) Find the cumulative distribution function of X that is F(x). (c) Use F(x) to find Pr(0.5 < z < 1). (d) Find E(x). (e) Find Var(X). (f) Find the median of the distribution of X.
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