In a certain college, $33 \%$ of the physics majors belong to ethnic minorities. Find the probability of the event from arandom sample of 10 students who are physics majors.
-No more than 6 belong to an ethnic minority.
A) .0547
B) .9846
C) .9815
D) .913

Question

Quizplus · Accepted Answer

The problem involves a binomial distribution with n = 10 trials and a probability of success (belonging to an ethnic minority) of p = 0.33. We need to find the probability that no more than 6 students belong to an ethnic minority, which means calculating P(X ≤ 6). Using a binomial probability table or calculator, this probability is approximately 0.9815.

In a Certain College 33%33 \%33% Of the Physics Majors Belong to Ethnic Minorities

In a Certain College $33 \%$ Of the Physics Majors Belong to Ethnic Minorities