The independent Poisson random variables X and Y have means 2 and 5, respectively. Obtain. the mean

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The independent Poisson random variables X and Y have means 2 and 5, respectively. Obtain. the mean and variance of the random variables

(a) Y-X,

(b) 2Y+10. For each of these random variables give one reason why the distribution is not Poisson. (NEAB)

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