• Example: A bread factory produces breads with an average of 300 gramsand a standard deviation of 12 grams. The average distribution of breadweights is normal. Calculate the probability that the average bread weightis less than 294 grams for a random sample of n=25 grains.

Z is known as standard normal variable and it's value is obtained using standard Normal table.

Answered: • Example: A bread factory produces…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Similar questions

A particular fruit's weights are normally distributed, with a mean of 450 grams and a standard deviation of 12 grams.If you pick one fruit at random, what is the probability that it will weigh between 430 grams and 482 grams?
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The shelf life of a perishable product is a random variable that is related to customer acceptance and, ultimately, to sales and profit. Suppose the shelf life of a particular soft drink is best approximated by a normal distribution with a mean of 180 days and standard deviation 20 days. What fraction of the product will still be fresh after 5 months on the shelf?
Annual precipitation in a certain city is normally distributed with a mean of 99 inches, and a standard deviation of 18 inches. Find the probability that the mean annual precipitation during 35 randomly picked years will be less than 101.8 inches.
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Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average (mean) of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 31.8 grams per pound. Find the probability of observing a sample mean of 31.8 grams of fat per pound or less in a random sample of 34 farm-raised trout.Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
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• Example: A bread factory produces breads with an average of 300 grams and a standard deviation of 12 grams. The average distribution of bread weights is normal. Calculate the probability that the average bread weight is less than 294 grams for a random sample of n=25 grains.