3. Suppose that the probability density function of x is [3x?, 0

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3. Suppose that the probability density function of x is
f(x) = {°0,"
(3x?, 0<x < 11
0, elsewhere)
a) Determine p(x < (1/3)), p((1/3) < x < (2/3)), and p(x 2 (2/3))
b) Determine the cumulative distribution function of x.
Transcribed Image Text:3. Suppose that the probability density function of x is f(x) = {°0," (3x?, 0<x < 11 0, elsewhere) a) Determine p(x < (1/3)), p((1/3) < x < (2/3)), and p(x 2 (2/3)) b) Determine the cumulative distribution function of x.
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