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The probability distribution of X is given in the table. What is the variance of the distribution?
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@rational
start by finding the mean
um .25?
|dw:1432817965592:dw|
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do you mean `2.5` ?
mean = 1*.4+2*.1+3*.1+4*.4 = 2.5
yes 2.5 sorry.
good, find the deviation from mean for each of the data values
subtract mean from each data value
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sub. 2.5 to each point?
Yes, work \(\large x_i - 2.5\) for each data value
|dw:1432818405802:dw|
-1.5, -.5, .5, 1.5
square each of them
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\(\large (x_i-2.5)^2\)
-2.25, -.25, .25, 2.25?
|dw:1432818549729:dw|
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