Question

Sore Throat No Sore Throat Runny Nose No Runny Nose 14 8 Find the probability that a randomly selected student has a runny nose or a sore throat. Write only a number a your answer. Round to two decimal places (for example: 0.73). Do not write as a percentage Your Answer: Answer Question 9 (1 point) 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 15 31 Male 54 Female 7 Find the probability that a randomly selected student is female or does not listen to music while studying

Answer 1

Answer 2

SOLUTION :

Total students = 5 + 5 + 14 + 8 = 32

P(Runny nose or Sore throat)

= P(Runny nose) + P(sore throat) - P(Runny nose and Sore throat)

= 10/32 + 19/32 - 5/32 

= 24/32

= 3/4

= 0.75  (ANSWER).

Q9 :

Total students = 54 + 15 + 7 + 31 = 107

P( Female or does not listen to music)

= P(Female) + P(does not listen to music) - P( Female and does not listen to music)

= 38/107 + 46/107 - 31/107

= 53/107 

= 0.4953

= 0.50 (ANSWER).