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The amount of time of an iphone battery lasts before it fails is normally distributed with mean 5.2 years and standard deviation of 1.3 years.

The amount of time of an iphone battery lasts before it fails is normally distributed with mean 5.2 years and standard deviation of 1.3 years. Apple randomly selects 100 iPhones for testing. Is it a likely event that the mean lifetime of the iPhone's batteries will be greater than 5.5 years? how to proof this in mathematical form

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