1. A manufacturer knows that their items have a lengths that are skewed right, with a mean of 7 in and SD of 0.6 in. If 36 items are chosen at random, what is the probability that their mean length is greater than 7.3 in? (Round the answer to four decimal places)

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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1. A manufacturer knows that their items have a lengths that are skewed right, with a mean of 7 in and SD of 0.6 in. If 36 items are chosen at random, what is the probability that their mean length is greater than 7.3 in? (Round the answer to four decimal places) 2. A particular fruits’ weights are normally distributed, with a mean of 312 grams, and a SD of 20 grams. If you pick 6 fruits at random, then 16% of the time, their mean weight will be greater than how many grams? (Give the answer to the nearest gram) 3. A life of a Radio Shack record player is normally distributed with a mean of 3.3 years and a SD of 0.8 years. Radio Shack guarantee its record players foe 2 years. Find the probability that a record player will break down during the guaranty period.
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