SOLUTION: A researcher looked at the occurrence of retinal capillary hemangioma (RCH) in patients with von Hippel - Lindau (VHL) disease. RCH is a benign vascular tumor of the retina. Usin

Question 1151871: A researcher looked at the occurrence of retinal capillary hemangioma (RCH) in patients with von Hippel - Lindau (VHL) disease. RCH is a benign vascular tumor of the retina. Using a retrospective consecutive case series review, the researchers found that the number of RCH tumor incidents followed a Poisson distribution with λ = 3 tumors per eye for patients with VHL. Using this model, find the probability that in a randomly selected patient with VHL:
a. There are exactly four occurrences of tumors per eye.
b. There are more than four occurrences of tumors per eye.
c. There are fewer than four occurrences of tumors per eye.
d. There are between four and six occurrences of tumors per eye, inclusive

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
p(4)=e^(-3)*3^4/4! so probability is 0.1680
p(6)=0.0504
p(5)=0.1008
so between 4 and 6 inclusive is the sum of the 3 or 0.3189
p(3) is 0.2240
p(2) is 0.2240
p(1) is 0.1494
p(0) is 0.0498
more than 4 is 1-p(0,1,2,3,4)=1-0.8152=0.1848 ANSWER
fewer than 4 is P(0,1,2,3)=0.6472

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