In a January 2016 Harris Poll, each of 2252 American adults was asked the following question: If you had to choose, which ONE of the following sports would you say is your favorite? (" Pro Football is Still America's Favorite Sport," theharrispoll.com/sports/Americas_Fav_Sport_2016.html, retrieved April 15, 2017). Of the survey participants, 33% chose pro footballl as their favorite sport. The report included the following statement "Adults with houshold incomes of $75,000 - < $100,000 (48%) are especially likely to name pro football as their favorite sport, while love of this particular game is especially low among those in $100,000 + households (21%)."

Suppose that the percentages from this poll are representative of American adults in general. Consider the following events;

F= event that a randomly selected American adult names pro football as his or her favorite sport.

L= event that a randomly selected American has a household income of $75,000 - < $100,000

H= event that a randomly selected American has a household income of $100,000+

a. Use the given information to estimate the following probabilities:

i. P(F)

ii. P (F\L)

iii. P (F\H)

b. Are the events F and L mutually exclusive ? Justify your answer.

c. Are the events H and L mutually exclusive? Justify your answer.

d. Are the events F and H independent? Justify your answer.