A random square has a side of length Y -units where Y is an exponential random variable with probability density function fY (y) = exp(y) for y 0...

A random square has a side of length Y -units where Y is an exponential random variable with probability density function fY (y) =λ exp(−λy) for y > 0 and λ > 0. Find the expected area of the square

.• A random rectangle has a sides of length X-units and Y -units where X and Y are i.i.d. exponential random variables with common parameter value λ > 0. Find the expected area of the rectangle