SOLUTION: Mr. Keller filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.58 probability of guessing any one game correctly. Wha

Algebra ->  Statistics  -> Binomial-probability -> SOLUTION: Mr. Keller filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.58 probability of guessing any one game correctly. Wha      Log On


   



Question 1191269: Mr. Keller filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.58 probability of guessing any one game correctly.
What is the probability Mr. Keller will pick all 32 of the first round games correctly?
What is the probability Mr. Keller will pick exactly 4 games correctly in the first round?
What is the probability Mr. Keller will pick exactly 22 games incorrectly in the first round?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a. This is 0.58^32=2.7 x10^(-8)
b. This is 32C4*0.58^4*0.42^28 by the binomial formula=1.15*10^(-7)
c. This issue 32C10*0.58^10*0.42^22=0.0814
The mean is 32*0.58=18.56 games correctly
The variance is 18.56*0.42=7.80
sd is sqrt(V)=2.80