Congress is about to vote on two bills: HR 1406 expands the powers of the FCC (Federal Communications Commission); HR 1571 establishes a wildlife reserve in central Utah. Before the vote is taken on either bill, a poll was conducted to assess support. In a poll of 300 representatives, 160 expressed support for HR 1406, 210 expressed supports for HR 1571, and 100 expressed supports for both bills.
a. If a representative supports HR 1406 (Event A), how likely is it that he/she supports HR 1571 (Event B)?
b. Given that a representative supports HR 1571 (Event B), how likely is it that he/she supports HR 1406 (Event A)?
c. Are the two votes (events) statistically independent? Explain.