... a. What is the probability that an individual bottle contains less than 2.71 liters? 0.187 (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 2.71 liters?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 58CR
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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 0.045 liter. Complete parts (a) through (e) below.
a. What is the probability that an individual bottle contains less than 2.71 liters?
0.187 (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 2.71
liters?
(Round to three decimal places as needed.)
Transcribed Image Text:The amount of water in a bottle is approximately normally distributed with a mean of 2.75 liters with a standard deviation of 0.045 liter. Complete parts (a) through (e) below. a. What is the probability that an individual bottle contains less than 2.71 liters? 0.187 (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 2.71 liters? (Round to three decimal places as needed.)
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