Question

8. 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:

                                                                                           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

                                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.”  

Answer 1