The charge life of a certain lithium-ion battery for camcorders is normally distributed, with mean 75 minutes and standa

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The charge life of a certain lithium-ion battery for camcorders is normally distributed, with mean 75 minutes and standa

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The Charge Life Of A Certain Lithium Ion Battery For Camcorders Is Normally Distributed With Mean 75 Minutes And Standa 1
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The charge life of a certain lithium-ion battery for camcorders is normally distributed, with mean 75 minutes and standard deviation 25 minutes.
(a) What is the probability that a randomly selected battery of this type lasts more than 100 minutes on a single charge? Is this result unusual? (b) Describe the sampling distribution of x, the sample mean charge life for a random sample of 10 such batteries. (c) What is the probability that a random sample of 10 such batteries has a mean charge life of more than 100 minutes? Is this result unusual? (d) What is the probability that a random sample of 25 such batteries has a mean charge life of more than 100 minutes? (e) Explain what causes the probabilities in parts (c) and (d) to be different.
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