Professional polling organizations face the challenge of selecting a representat

Question

Professional polling organizations face the challenge of selecting a representative sample of adults by telephone. This has been complicated by people who only use cell phones and by others whose landline phones are unlisted. A careful survey was done and the reported results appear in the accompanying table. Use the table to complete parts a through d below. What's the probability that a randomly selected adult has a landline? The probability is. (Round to two decimal places as needed.) What's the probability that an adult has a landline, given that he or she has a cell phone? The probability is. (Round to four decimal places as needed.) Are having a cell phone and a landline independent? Explain. No, the probability of an adult having a landline, given that he or she has a cell phone, is equal to the probability of having a landline. No, the probability of an adult having a landline, given that he or she has a cell phone, is not equal to the probability of having a landline. Yes, the probability of an adult having a landline, given that he or she has a cell phone, is not equal to the probability of having a landline. Yes, the probability of an adult having a landline, given that he or she has a cell phone, is equal to the probability of having a landline. Are having a cell phone and a landline disjoint? Explain. Yes, it is impossible to have both a call phone and a landline. No, it is impossible to have both a cell phone and a landline. No, it is possible to have both a cell phone and a landline. Yes, it is possible to have both a cell phone and a landline.

Explanation / Answer

a) P(Landline)

= 0.28 + 0.22 + 0.06

= 0.56

b) P(Landline | Cell phone)

= 0.28 / 0.39

= 0.7179

c) Option B is correct.

d) Option C is correct.

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