MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Yoplait yogurt is made using a special mixing technique to remove excess liquid. This process yields a lighter, creamer yogurt with more sugar per serving than a regular yogurt. Suppose the amount of protein, X, in a 5.3-oz serving of Yoplait mixed berry yogurt is normally distributed with mean 12 g and standard deviation 0.7 g. A 5.3-oz serving is selected at random from the assembly line.

 

(c) Suppose a cup of yogurt has less than 12.5 g of protein. What is the probability that is has more than 11.5 g? Give your
answer to at least three decimal places.
P(X > 11.5 | X < 12.5) =
(d) Suppose that six cups of yogurt are selected at random. What is the probability that at least three cups have at least
11.5 g of protein? Give your answer to at least three decimal places. The variable Y represents the number of cups out of
the six randomly-selected cups that contain at least 11.5 g of protein.
P(Y 2 3) =
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Transcribed Image Text:(c) Suppose a cup of yogurt has less than 12.5 g of protein. What is the probability that is has more than 11.5 g? Give your answer to at least three decimal places. P(X > 11.5 | X < 12.5) = (d) Suppose that six cups of yogurt are selected at random. What is the probability that at least three cups have at least 11.5 g of protein? Give your answer to at least three decimal places. The variable Y represents the number of cups out of the six randomly-selected cups that contain at least 11.5 g of protein. P(Y 2 3) =
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