A shopkeeper hires vacuum cleaners to the general public at 5$per day. The mean daily demand is 2.6. Suppose the demand followsPoisson distribution. (a) Calculate the expected daily income fromthis activity assuming an unlimited number of vacuum cleaners isavailable (b) Find the probability that the demand on a particularday is: 0, exactly 1, exactly 2, exactly 3 or more than 3; (c) Ifonly 3 vacuum cleaners are available for hire calculate the mean ofthe daily income. A nearby large store is willing to lend vacuumcleaners at short notice to the shopkeeper, so that she is able tomeet the demand. However, this shop will charge £2 per day for thisservice regardless of how many, if any, cleaners are borrowed.Would you advice the shopkeeper to take this offer?
