An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 116 cm and a standard deviation of 4.8 cm. A. Find the probability that one selected subcomponent is longer than 118 cm. B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 118 cm. C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 118 cm.

An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 116 cm and a standard deviation of 4.8 cm. A. Find the probability that one selected subcomponent is longer than 118 cm. B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 118 cm. C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 118 cm.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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 116 cm and a standard deviation of 4.8 cm.

A. Find the probability that one selected subcomponent is longer than 118 cm.

B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 118 cm.

C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 118 cm.

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