(a) In testing a certain kind of truck tire over a rugged terrain, it is found out that 25% of the trucks fail to complete the test without a blowout. Suppose that 15 trucks are tested. (a.1) What is the probability that exactly 5 trucks have blowouts? (a.2) What is the probability that fewer than 5 trucks have blowout? (a.3) Determine the average number of blowouts that may be encountered during the said test.

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