The following contingency table contains a cross-classification of data for the

Question

The following contingency table contains a cross-classification of data for the weights and years of experience for the players on an NFL football team. A player is selected at random. Find the following probabilities. P(Rookie) P(Weight is under 200 pounds) P(Rookie, given that weight is under 200 pounds) P(Rookie and weight is under 200 pounds) Are the events in 1 and 2 mutually exclusive? Show numbers to support your answer. Are the events in 1 and 2 independent? Show numbers to support your answer.

Explanation / Answer

1) P(rookie) = 18/62 = 0.2903

2) P(weight is under 200 pounds) = 8/62 = 0.1290

3) P(rookie | weight is under 200 pounds) = 3/8 = 0.375

4) P(rookie and weight is under 200 pounds) = 3/62 = 0.0484

5) No, they are not mutually exclusive as P(rookie and weight is under 200 pounds) is not zero.

6) No, they are not independent events because P(rookie | weight is under 200 pounds) is not equal to P(rookie)

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