According to a report released by the National Center for Health Statistics, 41%

Question

According to a report released by the National Center for Health Statistics, 41% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have highspeed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

a. What is the probability that the household has only a cell phone and has high-speed Internet?

b. What is the probability that the household has only a cell phone or has high-speed Internet?

c. What is the probability that the household has only a cell phone and does not have high-speed Internet?

d. What is the probability that the household does not have just a cell phone and does not have high-speed Internet?

e. What is the probability that the household does not have just a cell phone and does have high-speed Internet?

Explanation / Answer

a) probability that the household has only a cell phone and has high-speed Internet = 0.80*0.41 = 0.328

b) probability that the household has only a cell phone or has high-speed Internet = 0.41+0.70-0.328 = 0.782

c) probability that the household has only a cell phone and does not have high-speed Internet = 0.41-0.328 = 0.082

d) probability that the household does not have just a cell phone and does not have high-speed Internet? = 1-0.782

= 0.218

e) probability that the household does not have just a cell phone and does have high-speed Internet = 0.70-0.382 =

0.372

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