The fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 liter and a standard deviation of 0.05 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 0.99 and 1.0 liter? b. What is the probability that the sample mean will be below 0.98 liter? c. What is the probability that the sample mean will be greater than 1.01 liters? d. The probability is 90% that the sample mean amount of soft drink will be at least how much? e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetrically distributed around the mean)? a. The probability is 0.3922 (Round to three decimal places as needed.)