Question

Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probability that exactly 4 students have taken chemistry? Round the answer to the nearest thousandth.

Answer 1

@DanJS

Answer 2

Binomial distribution.

Answer 3

\[
X\sim \text{Binom}(12,0.40)
\]

Answer 4

\[
\Pr(X=k)= {12\choose k}(0.40)^k(1-0.40)^{12-k}
\]

Answer 5

We let \(k=4\).