Let x represent the amount of frozen yogurt (in hundreds of gallons) sold by the G&T restaurant on any day during the summer. Storage limitations dictate that the maximum amount of frozen yogurt that can be kept at G&T on any given day is 250 gallons. Records of past sales indicate that the probability density function for x is approximated by y(x) = 0.32x for 0 ≤ x ≤ 2.5.

(a) What is the probability that on some summer day, G&T will sell less than 100 gallons of frozen yogurt?
(b) What is the mean number of gallons of frozen yogurt that G&T expects to sell on a summer day? (Round your answer to the nearest gallon) gal