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

0.073

Step-by-step explanation:

Given information:

Probability of ethnic minorities (P) = 0.33

Number of Trials (n) = 10

Required successes (x) = 6 or more

To find the answer for this problem we will employ the Binomial Probability equation

To find the answer for 6 or more success we first calculate the following values

1) 6 success

2) 7 success

3) 8 success

4) 9 success

5) 10 success

so

Adding all these values we get the probabilities we get 0.0732