The number of hours a battery lasts before failing varies from battery to batter

Question

The number of hours a battery lasts before failing varies from battery to battery. The distribution of failure times follows an exponential distribution which is extremely skewed to the right. The Central Limit Theorem says that: As we look at more and more batteries, their average failure time gets ever closer to the mean for all batteries of this type. The average failure time of a large number of batteries has a distribution of the same shape as the distribution of the individual batteries. The average failure time of a large number of batteries has a distribution that is Normal. It is possible to know what happens to the average failure time of a large number of batteries.

Explanation / Answer

The first option is right

The central limit theorem (CLT) states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population

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