In a certain college 33 of the physics majors belong to ethn

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?

Solution

Let X be a random variable denoting the number of students belong to an ethnic minority.

X~Binomial(10,0.33)

probability that no more than 6 belong to an ethnic minority= P(X<=6)=0.981451