An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 115 cm and a standard deviation of 5.7 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 3 are randomly selected, all 3 have lengths that exceed 117 cm. Drobobility

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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 115 cm
and a standard deviation of 5.7 cm.
A. Find the probability that one selected subcomponent is longer than 117 cm.
Probability =
B. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 117 cm.
Probability =
C. Find the probability that if 3 are randomly selected, all 3 have lengths that exceed 117 cm.
Probability =
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 115 cm and a standard deviation of 5.7 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 3 are randomly selected, all 3 have lengths that exceed 117 cm. Probability =
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