Question: Suppose that X is a Poisson random variable with parameter =1.2 and Y is an independent standard normal random variable. What is the value of

Suppose that X is a Poisson random variable with parameter =1.2 and Y is an independent standard normal random variable. What is the value of the moment generating function of X+Y at t=0.4?

Note. Provide a numerical answer with precision up to 3 decimal places.

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