In a survey on study habits students at a local college were

In a survey on study habits, students at a local college were asked whether they listened to music while studying. The following table was constructed.

Listens to Music

Does Not Listen to Music

Male

40

27

Female

17

36

Find the probability that a randomly selected student listens to music while studying given that the student is female.

Write only a number a your answer. Round to two decimal places (for example: 0.73). Do not write as a percentage.

Solution

P(listens to music | female) = P(listens to music and female) / P(female)

= 17 / (17 + 36)

= 17 / 53

= 0.320754717

= 0.32 --> ANSWER