Question: The distribution of X is approximated with a triangular probability density function f (x) = 0.025x 0.0375 for 30 < x < 50 and

The distribution of X is approximated with a triangular probability density function f (x) = 0.025x − 0.0375 for 30 < x < 50 and f (x) = −0.025x + 0.0875 for 50 < x < 70.

Determine the following:

(a) P(X ≤ 40)

(b) P(40 < X ≤ 60)

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