Hi
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 = .25 and q = .75 and n = 7
nCx =
P( sample contains 4 minorities) = 35(.25)^4(.75)^3
P(sample < than 2 minorities)= P(0)+P(1) = (.75)^7 + 7(.25)(.75)^6
P(sample contains exactly 1 non-minority) = 7(.25)(.75)^6
expected value of minorities in the sample = .25*7 = 1.75