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Check My Work (1 remaining) eBook The following table provides a probability distribution for the random variable y. f(y) 0.2

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Answer #1
y f(y) y*f(y) y^2*f(y)
3 0.2 0.6 1.8
5 0.2 1 5
6 0.4 2.4 14.4
9 0.2 1.8 16.2
sum 23 1 5.8 37.4

a)

Ans:

E(y) = y* f(y) = 5.8

b)

var(y) = y2 + f(y) - [E(y)] = 37.4 - 5.82 = 3.76

o= var(y) = 1.94

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