Question: A general linear transformation Y = aX +b scales the PMF of X by a factor a and shifts it suchthat Y = aX +b.

A general linear transformation Y = aX +b scales the PMF of X by a factor a and shifts it suchthat Y = aX +b. Demonstrate this by calculating the PMF of Y when X is Bernoulli(1/2).Plot both PX (x) and PY (y), including the means on your plots.

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