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 a service visit exceeding 6 hours. Suppose (for now) that the service time T is equally likely to be any time in [0, 10] hours. (Note that T is a continuous random variable.) Let X represent the cost of service in the facility.

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Chapter1: Combinatorial Analysis
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Find probability density P as a function of cost of service X in $

Find cumulative probability as a function of X using probability density function

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 a service visit exceeding 6 hours. Suppose (for now) that the service
time T is equally likely to be any time in [0, 10] hours. (Note that T is a continuous random
variable.) Let X represent the cost of service in the facility.
Transcribed Image Text: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 a service visit exceeding 6 hours. Suppose (for now) that the service time T is equally likely to be any time in [0, 10] hours. (Note that T is a continuous random variable.) Let X represent the cost of service in the facility.
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