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Let X be a Poisson-distributed random variable with a mean value of 2. Consider the random variable Y = 2 X + 4 . Please

Let X be a Poisson-distributed random variable with a mean value of 2. Consider the random variable Y = 2 X + 4 . Please select all of the following statements that areTRUE. (more than one option)

a) Y has a mean value of 8

b) Y has a Poisson distribution

c) Y has a variance of 8

d) X and Y are independent

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