Question 4.4: Of all the new vehicles of a cet1ain model that are sold, 20...

Of all the new vehicles of a cet1ain model that are sold, 20% require repairs to be done under warranty during the first year of service. A particular dealership sells 14 such vehicles. What is the probability that fewer than five of them require warranty repairs?

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Let X represent the number of vehicles that require warranty repairs. Then X ∼ Bin(14, 0.2).The probability that fewer than five vehicles require warranty repairs is P(X ≤ 4). We consult Table A.1 with n = 14, p = 0.2, and x = 4. We find that P(X ≤ 4) = 0.870.

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