In a survey on study habits, students at a local college were asked whether they
ID: 3430405 • Letter: I
Question
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.
Listens to Music
Does Not Listen to Music
Male
40
27
Female
17
36
Explanation / Answer
P(listens to music | female) = P(listens to music and female) / P(female)
= 17 / (17 + 36)
= 17 / 53
= 0.320754717
= 0.32 --> ANSWER
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