A company estimates that 50% of the country has seen its commercial and that if a person sees its commercial, there is a 45% probability that the person will buy its product. What is the probability that a person chosen at random in the country will have seen the commercial and bought the product? Round your answer to four decimal places.
A)0.0111
B)0.0500
C)0.4500
D)0.5000
E)0.2250

Question

A company estimates that 50% of the country has seen its commercial and that if a person sees its commercial, there is a 45% probability that the person will buy its product. What is the probability that a person chosen at random in the country will have seen the commercial and bought the product? Round your answer to four decimal places. ​
A)0.0111
B)0.0500
C)0.4500
D)0.5000
E)0.2250

Quizplus · Accepted Answer

The probability that a person has seen the commercial is 0.5.
The probability that a person who has seen the commercial will buy the product is 0.45.
Therefore, the probability that a person chosen at random in the country will have seen the commercial and bought the product is:

P(seen commercial and bought product) = P(seen commercial) * P(bought product|seen commercial)
= 0.5 * 0.45
= 0.225

Therefore, the best choice is E.

A Company Estimates That 50% of the Country Has Seen