New England Patriots. From the National Football League

(NFL) Web site, in the New England Patriots Roster, we obtained information on the weights and years of experience for the players on that team, as of September 26, 2013. The following contingency table provides a cross-classification of those data. Weight (lb)

Years of experience Rookie 1–5 6–10 Over 10 Y1 Y2 Y3 Y4 Total Under 200 3 5 0 0 8 W1 200–300 11 21 7 2 41 W2 Over 300 4 4 5 0 13 W3 Total 18 30 12 2 62 Compute the following conditional probabilities directly; that is, do not use the conditional probability rule. A player on the New England Patriots is selected at random. Find the probability that the player selected

a. is a rookie.

b. weighs under 200 pounds.

c. is a rookie, given that he weighs under 200 pounds.

d. weighs under 200 pounds, given that he is a rookie.

e. Interpret your answers in parts (a)–

(d) in terms of percentages.