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Goranson and hall 1980 explain that the probability of

Goranson and Hall (1980) explain that the probability of detecting a crack in an airplane wing is the product of p1, the probability of inspecting a plane with a wing crack; p2, the probability of inspecting the detail in which the crack is located; and p3, the probability of detecting the damage.

a What assumptions justify the multiplication of these probabilities?

b Suppose p¹ =.9, p² =.8, and p³ =.5 for a certain fleet of planes. If three planes are inspected from this fleet, find the probability that a wing crack will be detected on at least one of them.

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