Question 5: Suppose a random variable ) has a probability density function given by f ( x ) = 0.75x(2 -x) Ox=2 0 otherwise Find the mean of X. Question 6: The amount of water used per flush by a toilet is measured in gallons per flush (GPF) and can vary greatly depending on the age and type of toilet. Assume the cumulative distribution function (cdf) of Y, the GPF for a toilet in the U.S., is provided below. 0 1 cy 0.09 1sy