14) The PDF of a random variable X is expressed by the quadratic function fx(x) = ax(1-x); for 0

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14) The PDF of a random variable X is expressed by the quadratic function fx(x) =
ax(1x); for 0 < x < 1, and is zero outside the unit interval. Find
(a) The parameter a from the normalization condition.
(b) Use the result of (a) to calculate the CDF (Fx(x)), E{X}, var(X) (0²), ox,
and P(0.4 < X < 0.9).
tion
Jmoo
Transcribed Image Text:14) The PDF of a random variable X is expressed by the quadratic function fx(x) = ax(1x); for 0 < x < 1, and is zero outside the unit interval. Find (a) The parameter a from the normalization condition. (b) Use the result of (a) to calculate the CDF (Fx(x)), E{X}, var(X) (0²), ox, and P(0.4 < X < 0.9). tion Jmoo
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