In a certain college, 33% of the physics majors belong to ethnic minorities. find the probability that, from a random sample of 10 physics majors, exactly 4 do not belong to an ethnic minority.

Respuesta :

If a random student has a 33% probability of belonging to a minority, then there is a 67% chance that they do not. In a sample of 10 students, the probability that exactly 4 do not belong to a minority is

[tex]\dbinom{10}40.67^4(1-0.67)^{10-4}\approx0.0547[/tex]