The following table gives the sex and age group of college s

The following table gives the sex and age group of college students at a Midwestern university.

Female

Male

Total

15 to 17 years

89

61

150

18 to 24 years

5,668

4,697

10,365

25 to 34 years

1,904

1,589

3,493

35 years or older

1,660

970

2,630

Total

9,321

7,317

16,638

A student is to be selected at random. Given that the selected student is female, the conditional probability that she is 25 to 34 years old is:

Solution

Let P denote the conditional probability that selected student is 25 to 34 years old given that she is a female.

P = 1904/9321 = 0.204