21. A bottling company produces bottles of fruit juice that are filled, on average, with 32 ounces (oz) of juice. Due to random fluctuations in the machinery, the actual volume of juice is normally distributed with a standard deviation of 0.4 ounce. Let P be the probability of a bottle having less than 31 ounces. Express P as an integral of an appropriate density function and compute its value numerically.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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F(z) denotes the cumulative normal distribution function. Refer to a calculator, computer algebra system, or online resource to obtain values of F(z).

21. A bottling company produces bottles of fruit juice that are filled, on average, with 32 ounces (oz) of
juice. Due to random fluctuations in the machinery, the actual volume of juice is normally distributed with a
standard deviation of 0.4 ounce. Let P be the probability of a bottle having less than 31 ounces. Express P
as an integral of an appropriate density function and compute its value numerically.
Transcribed Image Text:21. A bottling company produces bottles of fruit juice that are filled, on average, with 32 ounces (oz) of juice. Due to random fluctuations in the machinery, the actual volume of juice is normally distributed with a standard deviation of 0.4 ounce. Let P be the probability of a bottle having less than 31 ounces. Express P as an integral of an appropriate density function and compute its value numerically.
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