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 football as their favorite sport.

The report also included the following statement “Adults with household 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 $100,0001 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 $100,0001

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.