Colorado outfielder Matt Holliday had a batting average of .340 in 2007.
a) What is the probability that Holliday would go 0-for-4 (zero hits in four at-bats) in a game in 2007?
b) If Holliday had 650 at bats in 2007, what would be his expected number of hits?

Question

Colorado outfielder Matt Holliday had a batting average of .340 in 2007.
a) What is the probability that Holliday would go 0-for-4 (zero hits in four at-bats) in a game in 2007?
b) If Holliday had 650 at bats in 2007, what would be his expected number of hits?

anonymous · Answer

well this time we're going to use the hypergeometric distribution for part a:

HG(x, t)[4] with H(HollidayAtBat) = 0.340 * 2007
P(At-Bat) = 1.0 - P(AllMiss) = 0.1252 

so 0.1252 is final answer

Part b just multiply 650*2007*0.340 / (223*3^2) = 221

anonymous · Answer

Wait sorry I did part A wrong, I throught it said 5 at-bats

anonymous · Answer

It should be 0.19

anonymous · Answer

ok thnx