Let X be a Poisson random variable with parameter > 0. (a) Calculate EX, EX(X – 1) and EX(X – 1)(X – 2). - - (b) Calculate the probability that X takes even integers.

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A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

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A: The problem can be solved using the concept of expectation and moment generating function.

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Q: 9.18. question attached

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…