Suppose that the random variable V is the time taken by a garage to service a ear These times are distributed between 0 and 10 hours with a cumulative distribution function F(x) 4 B ln(3x 2) For 0 x 10 (a) Find the values of A and B and sketch the cumulative distribution function (b) What is the pr...

a Since F0 A B ln 2 0 and F10 ...

Suppose that the random variable V is the time taken by a garage to service a ear.

Question:

Suppose that the random variable V is the time taken by a garage to service a ear. These times are distributed between 0 and 10 hours with a cumulative function
F(x) = 4 + B ln(3x + 2)
For 0 ≤ x ≤ 10.
(a) Find the values of A and B and sketch the cumulative function.
(b) What is the probability that a repair job takes longer than two hours?
(c) Construct and sketch the probability density function.
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...