1.) Each week Jim buys 10 pounds of macadamia nuts to sell at his store, the Nut Hut. The number of pounds he actually sells in a week is a continuous random variable Y, which has the following probability density function:

a) Graph this density function. b) Find the probability that at most four pounds of macadamia nuts are sold. c) Find the probability that at least eight pounds of macadamia nuts are sold. d) Find the probability that exactly five pounds of macadamia nuts are sold.

fy(y) = y/50 if 0 y 10 0 otherwise