Question

Question 5 (S points) In a survey on study hablts, students at a local college were asked whether they lIstened to music while studying. The following table was constructed. Listens to Does Not MuslcListen to Male49 Female17 Music 36 32 Find the probability that a randomly selected student Ilstens to music while studying given that the student Is female Write only a number a your answer. Round to two declmal places (for example: 0.73). Do not write as a percentage Your Answer Answer Save Question 6 (5 polnts) The probablity of winning something on a single play at a slot machine is 0.16. After 6 plays on the slot machine, what is the probability of wionlng at least once? Write only a number as your answer, Round your answer to four decimal p?aces (for example 0.7319). Do not write as a percentage Your Answer: Answer Sane

Answer 1

Answer 2

SOLUTION :

Q5 :

Total students = 49 + 36 +17+ 32 = 134

Total female students = 17 + 32 = 49

P( Listens to music I Female)

= N (listens to music in female space) / N (Female)

= 17 / 49

= 0.3469

= 0.35 (ANSWER).

Q6 :

P(win on a day) = 0.16 

P(no win on a day) = 1 = 0.16 = 0.84

P( win at least on 1 day out of 6 days)

= 1 - P(no win at all in 6 days)

= 1 -  (0.84)^6

= 0.6487 (ANSWER)