# The charge life of a certain lithium ion battery for camcorders is normally distributed, with mean 90 minutes and standard deviation 35 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

The charge life of a certain lithium ion battery for camcorders is normally distributed, with mean 90 minutes and standard deviation 35 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 x̄, 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.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...