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The amount of water in a bottle is approximately normally distributed with a mean of 2.75 liters with a standard deviation of 0.035 liter. a.

The amount of water in a bottle is approximately normally distributed with a mean of 2.75 liters with a standard deviation of 0.035 liter.

a. What is the probability that an individual bottle contains less than 2.72 liters?

.196

(Round to three decimal places as needed.)

b. If a sample of 4 bottles is selected, what is the probability that the sample mean amount contained is less than 2.72

liters?

.043

(Round to three decimal places as needed.)

c. If a sample of 25 bottles is selected, what is the probability that the sample mean amount contained is less than 2.72

liters?

enter your response here

(Round to three decimal places as needed.)

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