The lifetime, in years, of a certain type of pump is a random variable with probability density

Question:

The lifetime, in years, of a certain type of pump is a random variable with probability density function.

64 x >0 f(x) = (x + 2)5 0.

a. What is the probability that a pump lasts more than two years?

b. What is the probability that a pump lasts between two and four years?

c. Find the mean lifetime.

d. Find the variance of the lifetimes.

e. Find the cumulative distribution function of the lifetime.

f. Find the median lifetime.

g. Find the 60th percentile of the lifetimes.

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...

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