A survey showed that 24 % of college students read newspapers on a regular basis

Question

A survey showed that 24 % of college students read newspapers on a regular basis and that 82 % of college students regularly watch the news on TV. The survey also showed that 20 % of college students both follow TV news regularly and read newspapers regularly. (a) What is the probability that a randomly selected college student reads newspapers regularly, given that he or she watches TV news regularly? Round your answer to 2 decimal places. (b) What is the probability that a student watches TV news regularly, given that he or she regularly reads newspapers? Round your answer to 2 decimal places.

Explanation / Answer

P(read newspapers) = 0.24

P(watch news on tv) = 0.82

P(read newspapers and watch news on tv) = 0.2

A) P(read newspaper | watch news on tv) = P(both) / P(watch news on tv)

                                = 0.2 / 0.82

                               = 0.24

B) P(watch news on tv | read newspapers) = P(both) / P(read newspapers)

                                          = 0.2 / 0.24

                                          = 0.83

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.