An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 108cm and a standard deviation of 5.5cm. a) Find the probability that an individual subcomponent is shorter than 114cm. Give your answer to four decimal places. b) What is the probability that if 4 subcomponents are randomly selected, their mean length is less than 114cm. Give your answer to four decimal places

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An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 108cm and a standard deviation of 5.5cm. a) Find the probability that an individual subcomponent is shorter than 114cm. Give your answer to four decimal places. b) What is the probability that if 4 subcomponents are randomly selected, their mean length is less than 114cm. Give your answer to four decimal places.
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