At a fast food restaurant, customers are asked if they want to "round up" their bill to the next highest dollar and
donate the additional money to charity. The cashier is instructed to tell the customer that their bill is X dollars and Y
cents. Assume that the values of Y are equally likely to be any value from 0 to 99 cents and that customers are equally
likely to "round up" regardless of the amount of their bill. The density curve below models Y, the donation amount.
(a) What is the shape of the distribution of donations?
Amount of donation (cents)
(b) What proportion of donations are at least 75 cents?