Question: 4-1. A random variable X has a probability density function of the form f (x) = -kex/3 x > 0; 0 elsewhere for a specific

4-1. A random variable X has a probability density function of the form f (x) = -ke−x/3 x > 0;

0 elsewhere for a specific constant k. Determine:

(a) the value of k

(b) the cumulative distribution function

(c) P(X ≤ 6)

(d) P(1 ≤ X ≤ 4)

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