Assume that calls to a software support centre over a 10 minute interval are Poisson distributed with = 5. What is the probability that: (i) Nobody calls for support during a 10 minute interval. (ii) Less than 2 calls are received. (c) A study of data collected at a LED light appliance factory shows that a batch of 8000 light appliances have a mean life of 20000 hours with a standard deviation of 1500 hours. Assuming a Normal distribution, calculate: (i) How many light appliances will fail before 18000 hours? (ii) How many light appliances will continue to work after 22500 hours