-, k 0,1,2,.... Use 4 decimal places. k! a) Evaluate the probabilities Pk for k = 0,1,2,3.

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--Actuuarial Maths

Consider a Poisson distribution, pk = e-1.5
k = 0,1,2,.... Use 4 decimal places.
k!
a) Evaluate the probabilities Pk for k = 0,1,2,3.
b) Consider the corresponding zero-truncated Poisson distribution. Evaluate
the probabilities p for k = 1,2,3.
c) Determine the mean, variance, and the pgf of the zero-truncated Poisson
distribution.
Transcribed Image Text:Consider a Poisson distribution, pk = e-1.5 k = 0,1,2,.... Use 4 decimal places. k! a) Evaluate the probabilities Pk for k = 0,1,2,3. b) Consider the corresponding zero-truncated Poisson distribution. Evaluate the probabilities p for k = 1,2,3. c) Determine the mean, variance, and the pgf of the zero-truncated Poisson distribution.
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