According to a survey, basketball is most popular among younger fans (aged 18-29) while baseball and football are most popular for fans 30 years of age or older. Suppose that in a survey of 2,500 randomly selected adults in the United States, respondents are asked to provide their favorite sport to watch out of basketball, baseball, and football. The results of the survey appear below. Favorite Professional Sport to Watch Respondent's Age Range Basketball 18-29 30-54 18-29 30-54 55+ 55+ Total . 250 185 155 Basketball x X (a) Develop a joint probability table and use it to answer the following questions. Favorite Professional Sport to Watch Respondent's Age Range X Baseball X 110 270 BATCH 215 Baseball Football x X X 235 X 685 395 Football X X X X Total x x x 1 (b) Construct the marginal probabilities for each of the professional sports leagues (basketball, baseball, and football). basketball baseball football

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