A service facility charges a $20 fixed fee plus $25 per hour of service up to 6 hours, and no additional fee is charged for service exceeding 6 hours. Suppose that the service time r is equally likely to be any time in 0, 10 hours (Note that r is a continuous random variable). Let X represent the cost of service in the facility.
A service facility charges a $20 fixed fee plus $25 per hour of service up to 6 hours, and no additional
fee is charged for service exceeding 6 hours. Suppose that the service time r is equally likely to be
any time in 0, 10 hours (Note that r is a continuous random variable). Let X represent the cost of
service in the facility.
(a) Find and sketch the cumulative distribution
(b) Find and sketch the
(c) What is the probability that you end up paying less than $60 for service? Answer this part two
different ways:
• Using your answer to part (b).
• Finding the time (call it To) at which the service would cost exactly $60 and then finding the
probability that † < To
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