Questions 46-50 are based on the following information: According to a recent st

Question

Questions 46-50 are based on the following information: According to a recent study, cell phones are the main medium for teenagers to stay connected with friends and family. It is estimated that 90% of older tens (aged 16-19) and 70% of younger teens (aged 13-15) own a cell phone. Suppose 60% of all teens are older teens. 46. If a teen is randomly selected, what is the probability that he/she is an older teen? A. 0.9 B. 0.7 C. 0.6 D. 0.4 47. If a teen is randomly selected, what is the probability that he/she is a younger teen? A. 0.9 B. 0.7 C. 0.6 D. 0.4 48. What is the probability that a teen owns a cell phone? A. 0.95 B. 0.82 D. 0.65 49. Given that a teen owns a cell phone, what is the probability that he/she is an older teen? A. 0.3415 B. 0.4415 C. 0.5585 D. 0.6585 50. Given that a teen owns a cell phone, what is the probability that he/she is a younger teen?

Explanation / Answer

90% of older teens between 16-19 owns a phone
70% of younger teens between 13-15owns a phone
60% of all teens are older teens
40% are all teens are younger teens

A46.
if a teen is randomly selected probability he/she is older teen = .60

A47.
if a teen is randomly selected probability he/she is younger teen = .40

A48.
if a teen is randomly selected probability he/she is owns a mobile phone = 0.54+0.28 = 0.82

A49.
given teen owns a cell phone, probability he/she is an older teen = P( teen owns a cell phone and older teen) / P(owns a cell phone) = 0.54 / 0.82 = 0.6585

A50.
given teen owns a cell phone, probability he/she is an younger teen = P( teen owns a cell phone and younger teen) / P(owns a cell phone) = 0.28 / 0.82 = 0.3414

TEENS OWNS MOBILE NOT TOTALS OLDER 0.54 0.06 0.6 YOUNGER 0.28 0.12 0.4 TOTALS 0.82 0.18 1

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