The local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights of these loaves varies. The mean weight is 1.7 lb. and 4 oz., or 885 grams. Assume the standard deviation of...

The local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights of these loaves varies. The mean weight is 1.7 lb. and 4 oz., or 885 grams. Assume the standard deviation of the weights is 20 grams and a sample of 42 loaves is to be randomly selected.

(d) What is the probability that this sample mean will be between 879 and 891? (Give your answer correct to four decimal places.)




(e) What is the probability that the sample mean will have a value less than 881? (Give your answer correct to four decimal places.)




(f) What is the probability that the sample mean will be within 7 grams of the mean? (Give your answer correct to four decimal places.)