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In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students...

In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, that is the probability that no more than 6 belong to an ethnic minority?
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0.9815

0.0547

0.913

0.9846
Math   Statistics-And-Probability   
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Answer #1

Let X be a random variable denoting the number of ethnic minorities in the physics majors.
Given 33% of the physics majors belong to ethnic minorities. That is
10 students are selected at random. Tht is n=10
clearly X follows binomial distribution with parameter n=10 and
Binomial distribution has pmf:

required to find the probability that no more than 6 belong to an ethnic minority
That is

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