Question: A certain firm is looking for five qualified engineers to add to its staff. If from past experience it is known that only 20% of

A certain firm is looking for five qualified engineers to add to its

staff. If from past experience it is known that only 20% of engineers applying for a

position with this firm are judged to be qualified, what is the probability that the firm

will interview exactly 40 applicants to fill the five positions? At least 40 applicants

to fill the five positions?

ps: the question is about standard discrete distributions.

pps: the answer to this question is 0.0107, please give specific reasoning and equations. Thanks.

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