A dam has a fixed water capacity of 20 feet. The distribution of flood levels is given by the…

A dam has a fixed water capacity of 20 feet. The
distribution of flood levels is given by the following probability density
function with X measured in feet:

Floods occur at random foHowing a Poisson process with a
mean rate of 1 every 2 yr. Compute the reliability of the dam over:

(a) A lO-yr period

(b) A 20-yr period