In a certain college, 37% of the physics majors belong to ethnic minorities. Find the probability that, from a random sample of 10 physics majors, no more than 6 belong to an ethnic minority's

The answer is 95.4525 percent because you would use an equation

n! / (r! (n-r) ! x (P) ^x * (1-P) ^ (n-x)

Plug in the number correspondingly

N = 10

R = 1, 2, 3, 4, 5, 6 (You will have to do each individual, if you have a Ti-nspire calculator however there is a built program called binomialcdf.

P=.37

x = r

After plugging this is the achieved answer is 95.4525

(.0578 +.1529 +.2394 +.2461 +.1734 +.0849) x 100

additive may be a little off due to rounding.