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.

Respondent's Age Range	Basketball	Baseball	Football
18-29	250	110	230
30-54	175	270	660
55+	165	215	425

(a)Develop a joint probability table and use it to answer the following questions.

Respondent's Age Range	Basketball	Baseball	Football	Total
18-29
30-54
55+
Total				1

(b)Construct the marginal probabilities for each of the professional sports leagues (basketball, baseball, and football).basketball baseball football (c)Given that a respondent is 18-29 years of age, what is the probability that the respondent's favorite sport to watch is baseball? (Round your answer to four decimal places.)(d)Given that a respondent is 55+ years of age, what is the probability that the respondent's favorite sport to watch is baseball? (Round your answer to four decimal places.)(e)Given that the respondent states that baseball is their favorite sport to watch, what is the probability that the respondent is 18-29 years of age? (Round your answer to four decimal places.)(f)Given that the respondent states that the football is their favorite sport to watch, are they more likely to be aged 18-29, 30-54, or 55+?8-2930-54 55+What is the probability that the respondent is in this age range? (Round your answer to four decimal places.)

Favorite Professional Sport to Watch