Question: 1.2.7 Suppose X is a random variable having the probability density function where R > 0 is a fixed parameter. (a) Determine the distribution function

1.2.7 Suppose X is a random variable having the probability density function

f(x) = [RxR-1 10 for 0x1, elsewhere,

where R > 0 is a fixed parameter.

(a) Determine the distribution function FX.x/.

(b) Determine the mean E[X].

(c) Determine the variance Var[X].

f(x) = [RxR-1 10 for 0x1, elsewhere,

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