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

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 probability that a repair job takes longer than two hours?
(c) Construct and sketch the probability density function.

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