The design of a pumping station calls for 6 identical 15,000 litre/hour (l/hr) pumps to be installed. Each pump has a probability of not being available of 0.05. (using binomial distribution method)
(a) What is the probability of having all six pumps available? (b) If the demand on the pumping station is 74 kl/hr, what is the probability of not meeting it? (c) What is the expected available pumping capacity? (d) What is the expected pumping load not supplied if the load is 74 kl/hr? Repeat (a), (b), (c) and (d) if two of the 15,000 l/hr pumps are replaced by one 30,000 l/hr pump with an unavailability of 0.10.
