## find prob. no more than 6 of 10 of math majors are in group

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midas
Posts: 15
Joined: Wed Mar 11, 2009 3:22 pm

### find prob. no more than 6 of 10 of math majors are in group

At Whatsamatta U, 30% of the math majors are classified as minorities. FInd the probability that, in a random sample of ten physics majors, no more than six are classed as such.
Would I use the formula "P(x)= C(n,x) * p^(x) * q^(n-x)"? Also, would P be 0.3?

Thank you.

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
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At Whatsamatta U, 30% of the math majors are classified as minorities. FInd the probability that, in a random sample of ten physics majors, no more than six are classed as such.
Would I use the formula "P(x)= C(n,x) * p^(x) * q^(n-x)"? Also, would P be 0.3?
You've got the right formula. Note that you'll need to find the probability for each of the cases of "exactly zero" through "exactly six", and sum them to find the probability of "no more than six", which also means "six or fewer".

Or else (which should be less work) find the probabilities of "exactly seven" through "exactly ten", sum them, and subtract from "1".

It's a bit of a slog, either way...