he average lifetime of the bulbs produced in factory A is 2500 hours and their standard deviation is 250 hours. The average lifetime of the bulbs produced in factory B is 2100 hours and the standard deviation is 150 hours. One sample of 50 light bulbs was taken from A and B factories. Calculate the probability that the average of the sample taken from factory A will be 300 hours longer than the average of the sample taken from factory B.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The average lifetime of the bulbs produced in factory A is 2500 hours and their standard deviation is 250 hours. The average lifetime of the bulbs produced in factory B is 2100 hours and the standard deviation is 150 hours. One sample of 50 light bulbs was taken from A and B factories. Calculate the probability that the average of the sample taken from factory A will be 300 hours longer than the average of the sample taken from factory B.

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