A recruiting firm finds that 20% of the applications are fluent in both English and French. Applicants are selected randomly from a pool and interviewed sequentially. Find the probability that at least fi ve applicants are interviewed before fi nding the fi rst applicant who is fluent in both English and French

Ty Moore

Ty Moore

Answered question

2022-11-07

Why is this not a geometric distribution?
A recruiting firm finds that 20% of the applications are fluent in both English and French. Applicants are selected randomly from a pool and interviewed sequentially. Find the probability that at least fi ve applicants are interviewed before fi nding the fi rst applicant who is fluent in both English and French
The answer for this question is ( 0.8 ) 5 .

Answer & Explanation

mainzollbtt

mainzollbtt

Beginner2022-11-08Added 13 answers

Step 1
It is a geometric distribution.
note ( 0.8 ) 5 × 0.2 is exactly 5. You want P ( X 5 ) for you which, if you do the sum
0.8 5 × 0.2 + 0.8 6 × 0.2 + 0.8 7 × 0.2 . . . =
Step 2
You get 0.8 5 but it'd be easier just observing greater equal to 5 means first 5 needs to be 'fails', i.e. 0.8 5

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