According to a survey, 75% of adults in the united states think the u. s. government system is broken. of these 75%, about 7 out of 10 think that the government can be fixed.

a. find the probability that a randomly selected adult thinks the u. s. government system is broken and thinks the government can be fixed.

b. given that a randomly selected adult thinks the u. s. government system is broken, find the probability that he or she thinks the government cannot be fixed.

Question

Anderson Branch

Mathematics

31 October, 15:21

According to a survey, 75% of adults in the united states think the u. s. government system is broken. of these 75%, about 7 out of 10 think that the government can be fixed.

a. find the probability that a randomly selected adult thinks the u. s. government system is broken and thinks the government can be fixed.

b. given that a randomly selected adult thinks the u. s. government system is broken, find the probability that he or she thinks the government cannot be fixed.

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Answers (1)

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Clinton Robbins · Answer 1

1. Probability that a randomly selected adult thinks the U. S. government system is broken and can be fixed:

P (A and B) = P (A) * P (B|A) =.75 *.7 = 0.525

2. Probability that given that a randomly selected adult thinks the U. S. government system, he or she thinks the government cannot be fixed.

P (B|A) = (1 - P (B|A) = 3/10 = 0.3