1.A bottling company uses a filling machine to fill plastic bottles with a popular cola. The bottles are supposed to contain 300 milliliters. In fact, the contents vary according to a normal distribution with mean u = 298 ml and standard deviation ) = 3 ml. (i) What is the probability that an individual bottle contains less than 295 ml? (ii) What is the probability that the mean contents of the bottles in a six- pack is less than 295 ml?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question
1.A bottling company uses a filling machine to fill plastic bottles with a
popular cola. The bottles are supposed to contain 300 milliliters. In fact, the
contents vary according to a normal distribution with mean µ = 298 ml and
standard deviation ) = 3 ml.
(i) What is the probability that an individual bottle contains less than 295
ml?
(ii) What is the probability that the mean contents of the bottles in a six-
pack is less than 295 ml?
Transcribed Image Text:1.A bottling company uses a filling machine to fill plastic bottles with a popular cola. The bottles are supposed to contain 300 milliliters. In fact, the contents vary according to a normal distribution with mean µ = 298 ml and standard deviation ) = 3 ml. (i) What is the probability that an individual bottle contains less than 295 ml? (ii) What is the probability that the mean contents of the bottles in a six- pack is less than 295 ml?
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