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QUESTION PART A: A manufacturer knows that their items have a normally distributed length, with a...

QUESTION PART A: A manufacturer knows that their items have a normally distributed length, with a mean of 8.9 inches, and standard deviation of 0.6 inches.

If 16 items are chosen at random, what is the probability that their mean length is less than 8.5 inches

QUESTION B: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.1 years, and standard deviation of 1 years.

If you randomly purchase 19 items, what is the probability that their mean life will be longer than 8 years?

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