Statistics:
Suppose you were assigned to write an article for the student
newspaper and you were given a quota (by the editor) of interviewing
at least three extroverted professors. How many professors selected at random
would you need to interview to be at least 90% sure of filling the
quota?
I was able to do the parts of the problems (this is part (e)) by using the equation:
\[P(r)=\frac{n!}{r!(n-r)!}p^rq^{n-r}=C_{n,r}p^rq^{n-r}\]

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p=.45
q=.55

I guess I have to find the minimum n

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