Question: An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 114

An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 114 cm and a standard deviation of 5.6 cm.

A. Find the probability that one selected subcomponent is longer than 116 cm.

Probability =

B. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 116 cm.

Probability =

C. Find the probability that if 3 are randomly selected, all 3 have lengths that exceed 116 cm.

Probability =

An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 114 cm and a standard deviation of 5.6 cm.

A. Find the probability that one selected subcomponent is longer than 116 cm.

Probability =

B. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 116 cm.

Probability =

C. Find the probability that if 3 are randomly selected, all 3 have lengths that exceed 116 cm.

Probability =

A factory's worker productivity is normally distributed. One worker produces an average of 73 units per day with a standard deviation of 18. Another worker produces at an average rate of 63 units per day with a standard deviation of 23.

A. What is the probability that in a single day worker 1 will outproduce worker 2?

Probability =

B. What is the probability that during one week (5 working days), worker 1 will outproduce worker 2?

Probability =

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