The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.10 liter. If you select a random sample of 100 bottles, a. what is the probability that the sample mean will be between 1.98 and 2.02 liters? b. what is the probability that the sample mean will be below 1.99 liters? c. what is the probability that the sample mean will be greater than 2.02 liters? d. The probability is 95% that the sample mean amount of soft drink will be at least how many liters?

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