The owner of a bakery shop knows that the amount of bread rolls sold per day is normally distributed,

with a mean of 180 rolls and a standard deviation of 47 rolls.

a) To break even, the owner must sell more than 78 rolls. What is the probability that on any given

day, the owner will break even?

b) How many rolls should the owner bake if the probability of running short on any given day is to be

no more than 5% ?

c) To save money, the owner buys enough ingredients to make 4900 rolls in the next 29 days. What is the

probability that he will sell all the rolls?

Hint: Determine the average number of rolls he must sell per day.