At the Express House Delivery Service, providing high quality service to customers is the top priority of the management. The company guarantees a refund of all charges of a package if its delivering does not arrive at its destination by the specified time. It is known from past data that despite all efforts, 2% of the packages mailed through this do not arrive at their destination within the specified time. Suppose a corporation mails 10 packages through Express House Delivery Service on a certain day. a) Find the probability that exactly three of these 10 packages will not arrive at its destination within the specified time. b) Find the probability that at most one of these 10 packages will not arrive at its destination within the specified time. c) Find the probability that at least two of these 10 packages will not arrive at its destination within the specified time.

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