Find the probability that one large bottle selected at random will contain more than the combined contents of three smaller bottles selected at random.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Answer the following question. Use a calculator if needed.

2 A soft drink manufacturer produces small and large
bottles of drink. The volumes of both sizes of drink
μ (mL) σ (mL)
small bottles
338
3
are independent and normally distributed with means
and standard deviations given in the table.
large bottles
1010
12
a Find the probability that one large bottle selected at random will contain more than the
combined contents of three smaller bottles selected at random.
6 Find the probability that one large bottle selected at random will contain three times more
than one smaller bottle selected at random.
Transcribed Image Text:2 A soft drink manufacturer produces small and large bottles of drink. The volumes of both sizes of drink μ (mL) σ (mL) small bottles 338 3 are independent and normally distributed with means and standard deviations given in the table. large bottles 1010 12 a Find the probability that one large bottle selected at random will contain more than the combined contents of three smaller bottles selected at random. 6 Find the probability that one large bottle selected at random will contain three times more than one smaller bottle selected at random.
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