Question: The probabilities for a randomvariable having the Poisson distributionwith = 1 is given in the following table. Values of Y 0 1 2 3

The probabilities for a randomvariable having the Poisson distributionwith μ = 1 is given in the following table.

Values of Y 0 1 2 3 4 5 6 Probability 0.368 0.368 0.184 0.061 0.015 0.003 0.001 Note: Probabilities for Y > 6 are very small and may be ignored.

(a) Compute the mean and variance of Y.

(b) According to theory, both the mean and the variance of the Poisson distribution are μ. Do the results in part

(a) agree with the theory?

 LO.1

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