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Discrete random variable x with probability distribution

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Reference no: EM132232562

For the following discrete random variable X with probability distribution:

X 0 1 2 3

P(X) 0.2 0.4 0.15 0.25

a. Find the probability distribution for Y = 3X2 - 2X + 1 (i.e, all values of Y and P(Y)).

b. Find E[Y] using part (a).

c. Find E[X] and E[X2].

d. Find Pr(Y ≤ 2).

e. Using part (c), verify your result from part (b) using E[X] and E[X2].

Reference no: EM132232562

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