Question: 51. The fill amount of bottles of a soft drink is distributed, with a mean of 2.0 liters and deviation of 0.05 liter. If you select a random sample of 25 bottles, what is the probability that the sample mean will be

(a) between 1.99 and 2.0 liters?

(b) below 1.98 liters?

(c) greater than 2.01 liters?

(d) The probability is 99% that the sample mean will contain at least how much soft drink?

(e) The probability is 99% that the sample mean will contain an amount that is between which two values (symmetrically distributed around the mean)?