An article suggests a normal distribution with mean 136.3 oz and standard deviation 2.5 oz for the actual contents of jars of a certain type. The stated contents was 134 oz. In USE SALT (a) What is the probability that a single jar contains more than the stated contents? (Round your answer to four decimal places.) (b) Among ten randomly selected jars, what is the probability that at least eight contain more than the stated contents? (Round your answer to four decimal places.) (c) Assuming that the mean remains at 136.3, to what value would the standard deviation have to be changed so that 95% of all jars contain more than the stated contents? (Round your answer to two places.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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An article suggests a normal distribution with mean 136.3 oz and standard deviation 2.5 oz for the actual contents of jars of a certain type. The stated contents was 134 oz.
n USE SALT
(a) What is the probability that a single jar contains more than the stated contents? (Round your answer to four decimal places.)
(b) Among ten randomly selected jars, what is the probability that at least eight contain more than the stated contents? (Round your answer to four decimal places.)
(c) Assuming that the mean remains at 136.3, to what value would the standard deviation have to be changed so that 95% of all jars contain more than the stated contents? (Round your answer to two decimal
places.)
oz
Transcribed Image Text:An article suggests a normal distribution with mean 136.3 oz and standard deviation 2.5 oz for the actual contents of jars of a certain type. The stated contents was 134 oz. n USE SALT (a) What is the probability that a single jar contains more than the stated contents? (Round your answer to four decimal places.) (b) Among ten randomly selected jars, what is the probability that at least eight contain more than the stated contents? (Round your answer to four decimal places.) (c) Assuming that the mean remains at 136.3, to what value would the standard deviation have to be changed so that 95% of all jars contain more than the stated contents? (Round your answer to two decimal places.) oz
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