A random sample of current National Football League and Major League Baseball pl
ID: 3291507 • Letter: A
Question
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 is the conditional probability that a player is an NFLer, given he did not
receive a degree?
b. What is the conditional probability that a player received a degree,
given that he is a MLBer.
c. Are the events League and College/University statistically independent?
d. Show the calculations that led you to your conclusion in “g.”
Explanation / Answer
a)
conditional probability that a player is an NFLer, given he did not receive a degree =0.11/0.37 =0.2973
b)
conditional probability that a player received a degree, given that he is a MLBer =0.24/0.5=0.48
c)
here probability of degree and MLB =0.24/1 =0.24
and P(degree )*P(MLB) =0.63*0.5=0.315
as above two are not equal therefore they are not independent.
d) calcuation is shown in above
NFL MLB total degree 0.39 0.24 0.63 no degree 0.11 0.26 0.37 total 0.5 0.5 1Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.