The fill amount of bottles of a soft drink is normallydistributed, with a mean of 3.0 liters and a standard deviation of 0.07 liter. Suppose you select a random sample of 25 bottles.

a. What is the probability that the sample mean will be between 2.99 and 3.0 liters?

b. What is the probability that the sample mean will be below 2.98 liters?

c. What is the probability that the sample mean will be greater than 3.01 liters?

d. The probability is 99% that the sample mean amount of soft drink will be at least howmuch?

e. The probability is 99% that the sample mean amount of soft drink will be between which two values(symmetrically distributed around themean)?

a. The probability is

three decimal places asneeded.)

b. The probability is

three decimal places asneeded.)

c. The probability is

three decimal places asneeded.)

d. There is a 99% probability that the sample mean amount of soft drink will be at least ? liter(s).

three decimal places asneeded.)

e. There is a 99% probability that the sample mean amount of soft drink will be between ? liter(s) and ? liter(s).

three decimal places as needed. Use ascendingorder.)