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