The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 1.0 liter and a standard deviation of 0.07 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 95​% that the sample mean amount of soft drink will be at least how​ much? e. The probability is 95​% that the sample mean amount of soft drink will be between which two values​ (symmetrically distributed around the​ mean)?

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