Question

Records show that 12% of all college students are foreign students who also smoke. It is also known that 40% of all foreign college students smoke. What percent of the students at this university are foreign

Answer 1

Answer: the percent of the students at this university are foreign = 30%

Step-by-step explanation:

Given: Probability that college students are foreign students who also smoke: P(S|F)=0.12

Probability that foreign college students smoke P(S∩F)=0.4

The probability that the students at this university are foreign :

$P(F)=\dfrac{P(S\cap F)}{P(S|F)}$  [By conditional probability formula]

$=\dfrac{0.12}{0.4}\\\\=0.3$

Hence, the percent of the students at this university are foreign = 30%