Because wireless technology has become reliable and prevalent, many people are t

Question

Because wireless technology has become reliable and prevalent, many people are terminating their landline service. According to a survey by the Centers for Disease Control and Prevention concerning the first half of 2012, 40.6% of households have wireless phones only. In addition, 57.2% have a landline with or without a wireless phone. You may assume that 51% of the population during that time frame were women. The same survey showed that 20.2% of the people are male and only have wireless phones while 21.4% of the people are female and only have wireless phones. a) Suppose the person selected is a man. What is the probability that he only has a wireless phone? (Please include 3 decimal places in your answer.) b) Suppose the person selected only has a wireless phone. What is the probability that the person is a woman? (Please include 3 decimal places in your answer.)

Explanation / Answer

(a) Person selected is man so Pr(Man) = 1 - 0.51 = 0.49

Pr( Wireless Phone l Man) = Pr( Man who has only wireless phone) / Pr (Men) = 0.202/ 0.49 = 0.412

(b) Person selected only has a wireless phone.

Pr (Wireless phone) = 0.406

Now probability that person is a woman = Pr(Woman l Wireless Phone) = Pr( woman who has only wireless phone)/ Pr(only wireless phone) = 0.214/ 0.406 = 0.527

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