According to a poll done in 2010, 50% of adults aged 25-29 had only a cell phone

Question

According to a poll done in 2010, 50% of adults aged 25-29 had only a cell phone (no landline). Assume that two randomly selected adults (aged 25-29) are asked whether they have onlya cell phone. Complete parts a through e below. a. If a person has only a cell phone, we will record Y for Yes If not, we will record N. List al possible sequences of Yand N for this experiment. O A. Y, N, YY, YN, NY, NN O B. YY, YN, NN O C. YY YY, YN, NY, NN, NN O D. YY YN, NY, NN b. For each sequence, find by hand the probability that it will occur, assuming each outcome is independent. Select the correct choice below and fill in the answer boxes to complete your choice. (ype integers or decimals. Do not round.) A. P(YY PYY) POYN P(NY) P(NN B. P(Y P(YN PONN P(YN PONY P(NN C. P(YY) D. POY) PON PYY P(NY) P(NN c. What is the probability that neither of the two randomly selected adults has only a cell phone? The probability that neither of the adults have only a cell phone is (ype an integer or decimal rounded to four decimal places as needed.) d. What is the probability that exactly one person out of two have only a cell phone? The probability that one of the adults has only a cell phone is (ype an integer or decimal rounded to four decimal places as needed.)

Explanation / Answer

a. First one Yes and second one yes - YY

First one Yes and second one No- YN

FIrst One no and second one Yes- NY

First one no and second one no- NN

Option D is correct.

b. P(YY) = 0.5 * 0.5 = 0.25

P(YN) = 0.5 * (1-0.5) = 0.25

P(NY) = 0,5 * ( 1-0.5) = 0.25

P(NN) = 0.5 * 0.5 = 0.25

c. P( neither will have only a cell phone is) = P(NN) = 0.5 * 0.5 = 0.25

d. The probability that one of the adults has only a cell phone is = P(YN) + P(NY) = 0.25 + 0.25 = 0.5

e. Probability that both of the adults have only a cell phone is = P(YY) = 0.25

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