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Foreign Service Canada is trying to identify an individual who speaks Farsi to fill a foreign...

Foreign Service Canada is trying to identify an individual who speaks Farsi to fill a foreign embassy position. They have determined that 4% of the applicant pool are fluent in Farsi. What type of probability distribution is this and why? What is the probability that they will find the first Farsi speaking applicant on the 25th interview? On the 40th?

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Answer #1

It is a binomial distribution as every trial results in exactly 2 mutually exclusive and exhaustive events that are

1) Applicant speaks Farsi fluently with a constant probability of 0.04 &

2) Applicant cannot speak Farsi fluently with constant probability 0.96.

Thus, if there are 'n' interviews, total number of fluent Farsi speaking applicants has Bin(n, p = 0.04) distribution.

Let X danotathe the number-ot- o tmals一一required to get Conducted to qet first Auent Kr-geometrie (poor Tha prof PL Fiat intent eo) haasi-speaking一一applicant-en-25th P (x = 25) 9.5-Pー.(0.96)24 (004) = 0.01501653 40-t-Pニー-(0.96) (004): 0.008 I 40256 39 PL× 40) =

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