SOLUTION: Complete the PDF table below if you know that σ_X=1.06752. S a b c d e f g h PDF 0.01 0.05 0.2 0.55 0.05 0.01 X 1 2 3 4 5 6 7 8

Algebra ->  Probability-and-statistics -> SOLUTION: Complete the PDF table below if you know that σ_X=1.06752. S a b c d e f g h PDF 0.01 0.05 0.2 0.55 0.05 0.01 X 1 2 3 4 5 6 7 8       Log On


   

Question 1084913: Complete the PDF table below if you know that σ_X=1.06752.
S a b c d e f g h
PDF 0.01 0.05 0.2 0.55 0.05 0.01
X 1 2 3 4 5 6 7 8
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can calculate the mean,

mu=5e%2B7g%2B3.29
and then calculate the variance,

and you know that,
sigma=sqrt%28V%29
V=1.06752%5E2
V=1.1395989504

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And now for the easy part.
You also know,
0.01%2B0.05%2B0.2%2B0.55%2Be%2B0.05%2Bg%2B0.01=1
e%2Bg=0.13
OK, so the first part leads to the equation,

Solving for the intersection of those numerically,
e=0.11
g=0.02
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