Suppose the service life of a server machine has a Uniform(10,20) year distribution. If the server machine is damaged, i

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Suppose the service life of a server machine has a
Uniform(10,20) year distribution. If the server machine is damaged,
it will be replaced with a new server.
a. Determine the long-term rate of server replacement in the above
case.
b. If there are new rules, namely if the server has reached the age
of 15 years of use and has not been damaged, then the server must
still be replaced with a new one. Determine the long-term rate of
server replacement.
c. For example, the cost of replacing a server is $20,000 if the
machine age < 15 years, and $10,000 if the machine age >= 15
years. Determine the rate of long-term server replacement
costs.