1.In an N machine one operator environment, five automatic machines are attended by one operator. Every time a machine completes a batch, the operator must reset it before a new batch is started. The time to finish a batch run is exponential with a mean of 45 minutes. The setup time is also exponential with a mean of 8 minutes. Determine

a.The average number of machines that are waiting for set up.

b.The probability that all the machines are working.

c.The average time a machine is down