(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 4 trucks have blowouts? (a.2) What is the probability that fewer than 4 trucks have blowout? (a.3) Determine the average number of blowouts that may be encountered during the said test.

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Chapter1: Combinatorial Analysis
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Situation 5.a.K

SITUATION 5
(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 4 trucks have blowouts?
(a.2) What is the probability that fewer than 4 trucks have blowout?
(a.3) Determine the average number of blowouts that may be
encountered during the said test.
Transcribed Image Text:SITUATION 5 (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 4 trucks have blowouts? (a.2) What is the probability that fewer than 4 trucks have blowout? (a.3) Determine the average number of blowouts that may be encountered during the said test.
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