Question

25. a 2018 pew research center survey found that more americans believe they could give up their televisions than could give up their cell phones (pew research website). assume that the following table represents the joint probabilities of americans who could give up their television or cell phone. could give up television could give up cellphone yes no yes 0.31 0.17 0.48 no 0.38 0.14 0.52 0.69 0.31 a. what is the probability that a person could give up her cell phone? (4 points) b. what is the probability that a person who could give up her cell phone could also give up television? (4 points) c. what is the probability that a person who could not give up her cell phone could give up her television? (4 points) d. is the probability a person could give up television higher if the person could not give up a cell phone or if the person could give up a cell phone? (4 points)

Answer 1

(a)Probability that a person could give up cell phone = 0.48

(b)Probability that a person who could give up her cell phone also could give up television is 0.65

(c) Probability that a person who could not give up a cell phone could give up television is 0.73

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

According to  the given question:

a. Probability that a person could give up cell phone = 0.48

b. Probability that a person who could give up her cell phone also could give up television

= P(give up cell phone and TV)/p(give up cell phone)

= 0.31/0.48

= 0.6458

= 0.65

c. Probability that a person who could not give up a cell phone could give up television is

= P(could not give up cellphone and could give up TV)/P(could not give up cell phone)

= 0.38/0.52

= 0.73

d. The probability a person could give up television is higher for persons who couldn't give up cell phones than for those who could give up their cell phones.

Hence,

(a)Probability that a person could give up cell phone = 0.48

(b)Probability that a person who could give up her cell phone also could give up television is 0.65

(c) Probability that a person who could not give up a cell phone could give up television is 0.73

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