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Part II: You must show all work to receive full credit 22. A population has the following distribution: f(x) 0.20 0.50 0.30 A
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Answer #1
X1 X2 X̅ = (x1+x2)/2 P(X̅)
2 3 2.5 0.2*0.5 = 0.1
2 4 3 0.2*0.3=0.06
3 4 3.5 0.3*0.5=0.15

a)

P(     X̅ = 3 ) = 0.06

b)

mean of    X̅ = (2.5 + 3 + 3.5) /3 = 3

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