Production Workers at a Large Factory Finish Shirts with a Hand

Essay

Production Workers at a large factory finish shirts with a hand sewn logo. The foreman overseeing the workers tracks the level of production. After collecting data for several months he estimates that workers complete an average of 230 shirts each day with a standard deviation of 13 shirts. He also believes that a normal model is appropriate to describe the distribution.
a) What is the probability that the workers will produce more than 250 shirts on a given
day?
b) Assuming that each day is independent, what are the chances that they will produce over 250 shirts for 3 days in a row?