X 0 1 2 3
Mathematics, 13.02.2020 21:42 ayoismeisalex
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].
Answers: 1
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X 0 1 2 3
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