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Let X and Y denote two independent Poisson random variables with parameter Ax and respectively. Answer the following True/False problems. You need to justify

Let X and Y denote two independent Poisson random variables with parameter Ax and respectively. Answer the following True/False problems. You need to justify your answers. 1. 2. 3. 4. 5. Z Z Z Z Z X + Y is a Poisson random variable. If true, determine its parameter. X + 7 is a Poisson random variable. If true, determine its parameter. 9X is a Poisson random variable. If true, determine its parameter. 4 X + 3Y is a Poisson random variable. If true, determine its parameter. XY is a Poisson random variable. If true, determine its parameter.

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