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

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) (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
RELATED QUESTIONS
Mr. Taylor filled out a bracket for the NCAA National Tournament. Based on his knowledge... (answered by swincher4391)

Mr. Taylor filled out a bracket for the NCAA national tournament based on his knowledge... (answered by Edwin McCravy)

The NCAA has raised the number of basketball teams qualifying for March Madness from 65... (answered by stanbon)

At the start of the 1999 NCAA men�s basketball tournament, 64 teams were invited to... (answered by stanbon)

. At the start of the 1999 NCAA men�s basketball tournament, 64 teams were invited to... (answered by stanbon)

At the start of the 1999 NCAA men's basketball tournament, 64 teams were invited to... (answered by stanbon)