I roll a random number of dice if the number of dice rolled, Basic Statistics

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I roll a random number of dice if the number of dice rolled

Question: I roll a random number of dice. If the number of dice rolled has the Poisson (12) distribution, find (and justify your answers)

a) the expectation of the total number of spots showing:

b) the standard deviation of the total number of spots showing.

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Basic Statistics: I roll a random number of dice if the number of dice rolled

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Basic Statistics: I roll a random number of dice if the number of dice rolled

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