Question: 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

2.7. Suppose X is a random variable having the probability density function[Rx-1 for 0 x 1, f(x) LO 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].

[Rx-1 for 0 x 1, f(x) LO elsewhere,

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