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? ... ?

Question

Mathematics

Lexie Mcknight

1 May, 06:16

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? ... ?

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Kalan · 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%