For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X,(ii) find the cdf, F(x) = P(X ≤ x), (iii) sketch graphs of the pdf f(x) and the cdf F(x), and (iv) find μ and σ2: (a) f(x)=4xc,0 ≤x≤1. (b) f(x)=c√x,0 ≤x≤4. (c) f(x)=c/x3/4,0 < x < 1.

MATLAB: An Introduction with Applications
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For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X,(ii) find the cdf, F(x) = P(X ≤ x), (iii) sketch graphs of the pdf f(x) and the cdf F(x), and (iv) find μ and σ2: (a) f(x)=4xc,0 ≤x≤1. (b) f(x)=c√x,0 ≤x≤4. (c) f(x)=c/x3/4,0 < x < 1.
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