anonymous
  • anonymous
The probability distribution of X is given in the table. What is the variance of the distribution?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@rational
anonymous
  • anonymous
1 Attachment
rational
  • rational
start by finding the mean

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anonymous
  • anonymous
um .25?
rational
  • rational
|dw:1432817965592:dw|
rational
  • rational
do you mean `2.5` ?
rational
  • rational
mean = 1*.4+2*.1+3*.1+4*.4 = 2.5
anonymous
  • anonymous
yes 2.5 sorry.
rational
  • rational
good, find the deviation from mean for each of the data values
rational
  • rational
subtract mean from each data value
anonymous
  • anonymous
sub. 2.5 to each point?
rational
  • rational
Yes, work \(\large x_i - 2.5\) for each data value
rational
  • rational
|dw:1432818405802:dw|
anonymous
  • anonymous
-1.5, -.5, .5, 1.5
rational
  • rational
square each of them
rational
  • rational
\(\large (x_i-2.5)^2\)
anonymous
  • anonymous
-2.25, -.25, .25, 2.25?
rational
  • rational
|dw:1432818549729:dw|
rational
  • rational
when you square, the negative sign disappears thats precicely the reason we square here ok
rational
  • rational
(-1.5)^2 = +2.25 it is not -2.25
anonymous
  • anonymous
ops, crap. I put it in my calculator wrong then. :/
anonymous
  • anonymous
@rational so what do I do now?
rational
  • rational
hey still here ?
anonymous
  • anonymous
yeah.
rational
  • rational
sry was on mobile
rational
  • rational
okay where are we
anonymous
  • anonymous
Its okay :) 2.25 fix from negative to positive :)
rational
  • rational
|dw:1432819551531:dw|
rational
  • rational
multiply each of those by the corresponding probabilities, then add them up
rational
  • rational
|dw:1432819635519:dw|
anonymous
  • anonymous
1.85
rational
  • rational
Perfect! 1.85 is the variance
rational
  • rational
we basically used below formula |dw:1432819854547:dw|

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