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A manufacturer receives a shipment of 500 spare parts from a supplier who claims that the lengths of the spare parts are approximately normally distributed having a mean of 2.5 cm and standard deviation of 0.04 cm. If the manufacturer takes a 10% random sample from the shipment, what is the probability that he gets a mean length of: a. More than 2.22 cm? b. More than 2.40 cm?

A manufacturer receives a shipment of 500 spare parts from a supplier who claims that the lengths of the spare parts are approximately normally distributed having a mean of 2.5 cm and standard deviation of 0.04 cm. If the manufacturer takes a 10% random sample from the shipment, what is the probability that he gets a mean length of: a. More than 2.22 cm? b. More than 2.40 cm?

A First Course in Probability (10th Edition)
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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A manufacturer receives a shipment of 500 spare parts from a supplier who claims that the lengths of the spare parts are approximately normally distributed having a mean of 2.5 cm and standard deviation of 0.04 cm. If the manufacturer takes a 10% random sample from the shipment, what is the probability that he gets a mean length of: a. More than 2.22 cm? b. More than 2.40 cm?
Transcribed Image Text:A manufacturer receives a shipment of 500 spare parts from a supplier who claims that the lengths of the spare parts are approximately normally distributed having a mean of 2.5 cm and standard deviation of 0.04 cm. If the manufacturer takes a 10% random sample from the shipment, what is the probability that he gets a mean length of: a. More than 2.22 cm? b. More than 2.40 cm?
c. Between 1.80 cm and 2.40 cm?
Transcribed Image Text:c. Between 1.80 cm and 2.40 cm?
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