Question

An article suggests a normal distribution with mean 139.3 oz and standard deviation 2.5 oz for...

An article suggests a normal distribution with mean 139.3 oz and standard deviation 2.5 oz for the actual contents of jars of a certain type. The stated contents was 137 oz.

(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 139.3, 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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