Question

In a survey on study habits, students at a local college were asked whether they listened...

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

42

24

Female

5

47

Find the probability that a randomly selected student is female or does not listen to music while studying.

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

Math   Statistics-And-Probability   
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Homework Answers

Answer #1
Male Female Total
Listen to Music 42 5 47
Does not listen to Music 24 47 71
Total 66 52 118

Total number of students in the survey = 118

Total Females =52

Number of people , who does not listen to music while studying = 71

Thus, the required probability =( probability of selecting a female in a random selection) + p(of selecting a person who does not listen to music while studying ) - (probability of selecting a female who does not listen to music while studying) [ since , P(AUB)=P(A)+P(B)-P(AB) ]

=

=

= 0.64( approx to two decimal places)

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