lifetime of a certain battery follows a normal distribution with a mean 274 minutes and standard deviation 20 minutes. We took a random sample of 100 of these batteries. What is the probability that the sample mean of the lifetime will be less than 270 minutes? Answer choice 0.9772 0.0228 0.4207 0.4772

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The lifetime of a certain battery follows a normal distribution with a mean 274 minutes and standard deviation 20 minutes. We took a random sample of 100 of these batteries. What is the probability that the sample mean of the lifetime will be less than 270 minutes?

Answer choice

0.9772
0.0228
0.4207
0.4772
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