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Singh Et Al Looked At The Occurrence Of Retinal Capillary Hemangioma (RCH) In Patients With Von Hippel-Lindau (VHL) Disease. RCH Is A Benign Tumour Of The Retina. From Looking At Previous Cases, The Researchers Found That Patients With VHL Had An Average Of 4 RCH Tumours Per Eye. Let X Be The Number Of Tumours In One Eye Of A Patient With VCL. The Researchers Found That X Had A Poisson Distribution.Source: Singh Et Al, Retinal Capillary Hemangioma, Ophthalmology, 10 (2001), 1907–1991(a) What Is The Probability That There Are Exactly Five Occurrences Of Tumours In One Eye? [2 Marks] (b) What Is The Probability That There Are At Most Five Tumours In One Eye? [3 Marks](c) What Is The Probability That There Are At Least Three Tumours In One Patient (that Is Within Two Eyes)? - Math Discussion

Singh et al looked at the occurrence of retinal capillary hemangioma (RCH) in patients with von Hippel-Lindau (VHL) disease. RCH is a benign tumour of the retina. From looking at previous cases, the researchers found that patients with VHL had an average of 4 RCH tumours per eye. Let X be the number of tumours in one eye of a patient with VCL. The researchers found that X had a Poisson distribution.Source: Singh et al, Retinal Capillary Hemangioma, Ophthalmology, 10 (2001), 1907–1991(a) What is the probability that there are exactly five occurrences of tumours in one eye? [2 marks] (b) What is the probability that there are at most five tumours in one eye? [3 marks](c) What is the probability that there are at least three tumours in one patient (that is within two eyes)?