Question

The student population of a large urban school is 60% poverty. If a team of 12 is randomly selected from the students in this school, what is the probability that precisely 7 students live in poverty?

Answer 1

Use the Binomial Distribution to work out the probability of exactly seven students out of twelve students live in poverty


nCr ×$(P success)^{r}$×$(P fail)^{n-r}$

12C7×$(0.6)^{7}$×$(0.4)^{5}$ = 0.23 (rounded to 2 dp)