Question

4) A baseball player has a .300 batting average. Define H as the number of hits the batter gets in 4 at bats. a) What probability distribution does H follow? Give the name of the distribution and the value of its parameter(s) (2 points) b) Find the probability that the batter gets 3 hits in 4 at bats (1 point). c) Find the probability that the batter gets more than 1 hit in 4 at bats (1 point)

Answer 1

a ) Let , H be the number of hits the batter gets in 4 bats

Here , H has Poisson distribution with paramater m=0.300

Therefore , the pmf of H is ,

; h = 0 , 1 , .............

= 0 ; otherwise

b )

c )