Question: Consider a Bernoulli random variable X such that P(X=1) = p. Calculate the following and show steps of your work: a) E[X] b) E[X 2

Consider a Bernoulli random variable X such that P(X=1) = p. Calculate the following and show steps of your work:

a) E[X]

b) E[X2]

c) Var[X]

d) E[(1 -X)10]

e) E[(X-p)4]

f) E[3X41-X]

g) var[3X41-X]

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