Question

the principal will randomly choose 6 students from a large school to represent the school in a newspaper photograph. the probability that a chose student is an athlete is 30%. (assume that this doesn't change) What is the probability that 4 athletes are chosen? ...?

Answer 1

This is a binomial distribution. The probability of a binomial distribution is given by

P = nCr * p^r * q^(n-r)

For this problem,
n = 6
r = 4
p = 0.30
q = 0.70

P = 6C4 * 0.30^4 * 0.70^(6-4)
P = 5.95%