A researcher wants to study the effects of running and the effects of swimming on mental health. To do this, they gather a portion of the population, and split them into three groups: 40% of the population is told to run every other day (and not to swim regularly). 32% of the population is told to swim every other day (and not to run regularly). 28% of the population is told not to swim or run regularly (the control group). After a year, the following data is obtained: 10% of runners reported a general improvement in their mood over the past year. 12% of swimmers reported a general improvement in their mood over the past year. 5% of the control group reported a general improvement in their mood over the past year. a. Given a runner from the group, what is the probability that they experienced an improvement in mood over the past year? b. What is the probability that a random person from the group experienced an improvement in mood over the past year? c. If a person from the group experienced an impovement in mood over the past year, what is the probability that they ran regularly? .

1. A sample of 254 adults is selected. The adults are classified according to voter registration status
("registered" or "not registered"). They are also classified according to preferred source of
current events information ("television", "newspapers", "radio", or "internet sites"), The results
are given in the contingency table belowi What is the felative frequency of adults in the sample
who are not registered to vote and prefer to obtain their information through television? Round
your answer to two decimal places.