SOLUTION: In a certain college, 33% of the physics majors belong to ethnic minorities. Find the probability that 7 or more belong to an ethnic minority from a random sample of 10 students wh

 

Hi

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

Find the probability that 7 or more belong to an ethnic minority from a random

 sample of 10 students who are physics majors.

Note: The probability of x successes in n trials is: 

P = nCx*  where p and q are the probabilities of success and failure respectively. 

In this case p = .33 and q = .67  and n = 10

 nCx = 

P(7 or more are physics majors) = .0185

10C7(.33)^7(.67)^3 +10C8(.33)^8(.67)^2 +10C9(.33)^9(.67)^1 +10C10(.33)^10

    .0154          +  .0028            + .0003             + .000015  = .0185