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Probability density function of the continuous random variable X is given by f(x) = ( ce...

Probability density function of the continuous random variable X is given by f(x) = ( ce −1 8 x for x ≥ 0 0 elsewhere

(a) Determine the value of the constant c.

(b) Find P(X ≤ 36).

(c) Determine k such that P(X > k) = e −2 .

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