Answer Happy

1. Suppose that the duration of hospitalization, in days, for patients who follow treatment for a cardiovascular disease is Y = x + 7, where X has the following probability density function. 8 x>0 f(x) = }(x + 2)3' 0, elsewhere Find the average number of days that a person is hospitalized following treatment for this disease.

Let Y be a random variable and Y = 3X – 2, where X has the probability density function, f(x) = 37 x>0 lo, otherwise Find the mean and variance of the random variable Y.