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) P(Wireless phone/Male ) = P(Wireless phone and male)/P(male)

P(Wireless phone/Male ) = 0.202/(1-0.51) = 0.412

So, answer is 0.412

b) P(Women/Wireless Phone) = P(Wireless phone and female)/P(female)

P(Women/Wireless Phone) = 0.214/0.51 = 0.420

So answer is 0.420

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