Question

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

Answer 1

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.