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3. The continuous random variable X has the probability density function (PDF) fX(x) = ce−5x for x ≥ 0 and 0 otherwise.

Posted: Sun May 15, 2022 4:22 pm
by answerhappygod
3. The continuous random variable X has the probability
density function (PDF) fX(x) = ce−5x for x ≥ 0 and 0 otherwise.
1) Find the value of the constant c.
2) Find the cumulative distribution function (CDF) of X, namely,
FX(x).
3) Find the expectation E(X) and the variance var(X).