According to the Associated Press report, 44 percent of parents who have purchased TV sets after V-chips became standard equipment in January 2000 are aware that their sets have V-chips, and of those who are aware of the option, 36 percent have programmed their V-chips. Using these results, find an estimate of the probability that a randomly selected parent who has bought a TV set since January 2000 has programmed the V-chip. (Round your answers to 4 decimal places.)

Question

Jamie Henderson

Mathematics

24 March, 08:24

According to the Associated Press report, 44 percent of parents who have purchased TV sets after V-chips became standard equipment in January 2000 are aware that their sets have V-chips, and of those who are aware of the option, 36 percent have programmed their V-chips. Using these results, find an estimate of the probability that a randomly selected parent who has bought a TV set since January 2000 has programmed the V-chip. (Round your answers to 4 decimal places.)

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Beck · Answer 1

0.1584

Step-by-step explanation:

The relationship between the two events can be estimated by using the conditional probability. This is used to show that the occurrence of an event is dependent on another one.

P (purchase) is the probability of those that bought television before V-chips installation = 44/100 = 0.44

P (V-chips | purchase) probability of those that have installed after purchase = 36/100 = 0.36

Therefore:

P (V-chip ∩ purchase) is the probability of a random person that bought and have installed V-chips = 0.44*0.36 = 0.1584