13Dwight Howard plays center for the Orlando Magic in the Na

13.Dwight Howard plays center for the Orlando Magic in the National Basketball Association and averaged 2.4 blocked shots per game during the 2011 season. Assume that the number of blocked shots per game follows the Poisson distribution. What is the probability that Dwight Howard will block two or three shots during the next game?

Solution

Poisson distribution with lemda = 2.4 for blocked shots

P(x=2 or 3)

= P(x=2)+P(x=3)

= 0.2613+0.4116

= 0.6729