Jimmy Butler (shooting guard for the Minnesota Twolves) makes about p =30% of his three-point shot attempts. In any game, the number of three-point shots he attempts is a random variable Z whose distribution is approximately Poisson with mean = 5. What is the probability that in a random game he makes exactly 2 three-point shots?
I can easily find the probability of taking n shots given the distribution, but I have trouble finding how to find the probability of making n shots, since p = .3, and 6.6666 attempted shots is not a valid input for the Poisson distribution formula.
Any help is appreciated!