Answer to Question #245383 in Statistics and Probability for sabina

Question

The accompanying table shows proportions of adults in metropolitan areas, categorized as to whether they are public-radio contributors and whether or not they voted in the last election. Voted Yes Contributors 0.63 0.14 Non-contributors 0.13 0.10 No a. What is the probability that a randomly chosen adult from this population voted? b. What is the probability that a randomly chosen adult from this population contributes to public radio? c. What is the probability that a randomly chosen adult from this population did not contribute and did not vote?

Answer 1

a. P (Voted)= P(contributors and Voted) + P(non-contributors and Voted)

= 0.63 + 0.13

=0.76

b. P(Contributor)= P(contributor and voted) + P(contributor and not voted)

=0.63 + 0.14

=0.77

c. P(Did not contribute and did not vote)= 0.10