Each minute a machine produces a length of rope with mean 4 feet and standarddeviation 0.5 feet. Assume that the amounts produced in different minutes are independent andidentically distributed. (a) Assume the amount produced in each minute has a normal distribution. Find the probability that the machine will produce at least 250 feet in one hour. (b) How would your answer in (a) change if the distribution of the amount produced in each minute is not normally distributed?

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Each minute a machine produces a length of rope with mean 4 feet and standarddeviation 0.5 feet. Assume that the amounts produced in different minutes are independent andidentically distributed.

(a) Assume the amount produced in each minute has a normal distribution. Find the probability that the machine will produce at least 250 feet in one hour.

(b) How would your answer in (a) change if the distribution of the amount produced in each minute is not normally distributed?

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