Years of Experience Rookie 15 610 Over 10 Under 200 Over 300

Years of Experience

Rookie

1-5

6-10

Over 10

Under 200

Over 300

200-300

1. Create a joint probability distribution table from this data.

2. Verify the sum of each row and colum of the joint probability distribution equas the marginal probability of that row or column. (Ignore rounding issues)

3. What is the probability that a player selected from the above table is:

A. A rookie

B. Weighs under 200 lbs

C. Is a rookie, given that he weights under 200 lbs.

D. Weighs under 200 lbs, given that he is a rookie.

Years of Experience

Weight (lb)

Rookie

\"Y_{1}\"

1-5

\"Y_{2}\"

6-10

\"Y_{3}\"

Over 10

\"Y_{4}\"

Total

Under 200

\"W_{1}\"

3 5 0 0 8

Over 300

\"W_{3}\"

11 21 7 2 41

200-300

\"W_{2}\"

4 4 5 0 13
Total 18 30 12 2 62

Solution

Years of Experience Rookie 1-5 6-10 Over 10 Under 200 Over 300 200-300 1. Create a joint probability distribution table from this data. 2. Verify the sum of eac

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