1 A single machine is used between 8 A.M. and 4 P.M. to perform EKGs (electrocardiograms). There are 3 waiting spaces, and any arrival finding no available waiting space is lost to the system. The arrival rate per hour at time t (t 0 is 8 A.M., and t 8 is 4 P.M.) is given by

Assume that service times are exponential and an average of 7 EKGs can be completed per hour. Also assume that arrivals follow a nonhomogeneous Poisson process.
Determine how the probability that an arriving patient is lost to the system varies during the day.

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t A(t) 9.24 1.584 cos - +7.897 sin 1.51 3.02, 10.434 cos +4.293 cos 4.53 6.04