of a Ice is an A pie of size and its sample mean is calculated. Find the probability that the sample mean is different from the true mean b less than 1 month, that is, X - 50| < 1.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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The lifetime of a device is an exponential random variable with a mean of 50 months. A sample of size 100 is obtained, and its sample mean is calculated. Find the probability that the sample mean is different from the true mean by less than 1 month, that is, \( | \bar{X} - 50 | < 1 \).
Transcribed Image Text:The lifetime of a device is an exponential random variable with a mean of 50 months. A sample of size 100 is obtained, and its sample mean is calculated. Find the probability that the sample mean is different from the true mean by less than 1 month, that is, \( | \bar{X} - 50 | < 1 \).
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