Question: Consider the continuous probability distribution and the reward function provided by the equations below. f X (x) = {2x 0 x 1 0 else} R(x)

Consider the continuous probability distribution and the reward function provided by the equations below.

f X (x) =

{2x 0 x 1 0 else}

R(x) = 4x + 1

(a) Draw the probability density function (b) Draw the reward function (c) Calculate the expected reward

Please write step by step, explain everything and neatly!

Thanks.

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