An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 118 cm and a standard deviation of 5.7 cm A Find the probability that one selected subcomponent is longer than 120 cm. Probability= 0.3628 B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 120 cm. Probability 0.7018 C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 120 cm. Probability= 2414

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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 118 cm and a standard
deviation of 5.7 cm
A Find the probability that one selected subcomponent is longer than 120 cm.
Probability 0.3628
B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 120 cm.
Probability 0.7018
C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 120 cm.
Probability 2414
Transcribed Image Text:An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 118 cm and a standard deviation of 5.7 cm A Find the probability that one selected subcomponent is longer than 120 cm. Probability 0.3628 B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 120 cm. Probability 0.7018 C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 120 cm. Probability 2414
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