3.1-8. For each of the following functions, (i) find the constant c so that ƒ(x) is a pdf of a random variable X; (ii) find the cdf, F(x) = P(X ≤ x); (iii) oketch g the pdff(x) and the distribution function ; and (iv) find u, o², and the i b. f(x) = (3/16)x², - c < x < c. c. f(x) = c/√x, 0

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3.1-8. For each of the following functions, (i) find the constant c so that f(x) is a pdf of a
the pdff(x)
random variable X; (ii) find the cdf, F(x) = P(X ≤ x); (iii) oketch g
and the distribution function F); and (iv) find μ,
o², and the
b. f(x) = (3/16)x², - c < x < c.
c. f(x) = c/√√x, 0<x< 1.
Transcribed Image Text:3.1-8. For each of the following functions, (i) find the constant c so that f(x) is a pdf of a the pdff(x) random variable X; (ii) find the cdf, F(x) = P(X ≤ x); (iii) oketch g and the distribution function F); and (iv) find μ, o², and the b. f(x) = (3/16)x², - c < x < c. c. f(x) = c/√√x, 0<x< 1.
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