Hi Problem 5.78: In airport luggage screening it is known that 3% of peoplesreen

Question

Hi Problem 5.78: In airport luggage screening it is known that 3% of peoplesreened have questionable objects in their luggage.What is theprobability that a string of 15 people pass through successfullybefore an individual is caught with a questionable object? What is the expected number in a row that pass through beforean individual is stopped? Please help Thank you so much Hi Problem 5.78: In airport luggage screening it is known that 3% of peoplesreened have questionable objects in their luggage.What is theprobability that a string of 15 people pass through successfullybefore an individual is caught with a questionable object? What is the expected number in a row that pass through beforean individual is stopped? Please help Thank you so much

Explanation / Answer

A. In airport luggage screening it is known that 3% of peoplesreened have questionable objects in their luggage.What is theprobability that a string of 15 people pass through successfullybefore an individual is caught with a questionable object?

Because the rate of a person doesn't change from person to person,it will be the same for each individual. So the equation would bethe percentage times percentage; you do this for as many person asyou need!

(0.03) * (0.03) * (0.03) * (0.03) * (0.03) * (0.03) * (0.03) *(0.03) *
(0.03) * (0.03) * (0.03) * (0.03) * (0.03) * (0.03) * (0.03) = thatwill be your answer!

B. What is the expected number in a row that pass throughbefore an individual is stopped? The equation for expected value is: = E(X) = X * P(X)

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