The fill amount of bottles of a soft drink is normally?distributed, with a mean of 2.0 liters and a standard deviation of0.08 liter. Suppose you select a random sample of 25 bottles. a.What is the probability that the sample mean will be between 1.99and 2.0 liters?? b. What is the probability that the sample meanwill be below 1.98 liters?? c. What is the probability that thesample mean will be greater than 2.01 ?liters? d. The probabilityis 95?% that the sample mean amount of soft drink will be at leasthow? much? e. The probability is 95?% that the sample mean amountof soft drink will be between which two values? (symmetricallydistributed around the? mean)?