12) Thirty six percent of all assembly line mechanical robots are claimed for services by the technicians to be sent out to the manufacturer all under the issued warranty at the time of purchase. Out of these robots sent under warranty, 45% will be repaired and sent back to the factory and 55% will be replaced under warranty at no cost. Suppose the company you are working for recently ordered 15 of these mechanical robots. The CEO agreed to sign a five years purchasing contract if only the probability of sending back three of these robots are LESS than 0.24 during the life of the contract. Will she approve the purchasing contact? [Hint: you are trying to find the probability of exactly three robots will eventually be replaced under warranty as she will not sigm off if such probability for three is more than 24%.]

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