2. A random sample of current National Football League and Major League Baseball

ID: 3183637 • Letter: 2

Question

2. A random sample of current National Football League and Major League Baseball players was

taken to determine how many received a degree from the college/university they attended.

Below is a partial table of data associated with both simple and joint probabilities: (7 pts)

League

NFL MLB Totals

Degree .39 .63

College/University No degree .26

Totals .50 1.00

a. What are the two missing simple probabilities?

b. What are the missing joint probabilities?

c. What is the probability that a player received his degree and plays MLB?

d. What is the probability that a player did not receive his degree and plays in the NFL?

e. What is the conditional probability that a player is an NFLer, given he did not

receive a degree?

f. What is the conditional probability that a player received a degree,

given that he is a MLBer.

g. Are the events League and College/University statistically independent?

h. Show the calculations that led you to your conclusion in “g.”

The table is completed as :

A & B have been solved above

C) 0.24 as shown

D) Conditional probablity = 0.11 / 0.50 = 0.22

NFL MLB Total Degree 0.39 0.24 0.63 No Degree 0.11 0.26 0.37 Total 0.5 0.5 1

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