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Airport security uses a randomized selection procedure that flags individuals 5% of the time for additional...

Airport security uses a randomized selection procedure that flags individuals 5% of the time for additional screening after they pass through a certain checkpoint. Over the course of a day, 60 individuals pass through this particular checkpoint. Among these 60 individuals, let Y be the number that were flagged for additional screening. Can you help me understand what is the most appropriate distribution that can be used to model Y and why?

Math   Statistics-And-Probability   
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Answer #1

Given: The probability that a randomized selection procedure that flags individuals for additional screening after they pass through a certain checkpoint is p=0.05

Over the course of a day, 60 individuals pass through this particular checkpoint.

Let Y be the number that were flagged for additional screening.

Therefore, Y~Binom(n=60,p=0.05)

Since,

i. Each individual either went to additional screening or not. That is each trial have only two possible outcomes.

ii. The probability of success(p) remains constant for each individual.

iii. The individual who pass through additional screening is independent of other individuals.

That is additional screening of one individual does not affects on additional screening of other individual.

iv. Sample size is fixed n=60.

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