Question: A shipment of steel bars will be accepted if the mean breaking strength of a random sample of 10 steel bars from the shipment is greater than 250 pounds per square inch. The breaking strength of the bars in the shipment has an approximately normal distribution with a mean of 260 and a standard deviation of 20.

a. What is the probability that a bar selected at random from the shipment has a breaking strength less

than 250 pounds?

b. What is the probability that the shipment is rejected?