Posted by darius on Tuesday, August 28, 2007 at 10:15pm.
A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.41, 0.05, and 0.04, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.

statistics  MathGuru, Tuesday, August 28, 2007 at 11:41pm
Your data:
X P(X)
0 0.50
1 0.41
2 0.05
3 0.04
Here's a formula for the mean:
SUM[X * P(X)]
(Take each X times its respective P(X), then sum for a total. This will be your mean.)
Here's a formula for the standard deviation:
SQRT of {SUM[X^2 * P(X)]  mean^2}
(Square each X. Take each X^2 times its respective P(X), then sum for a total. Subtract mean^2 from this value. Then take the square root of that result. This will be your standard deviation.)
I hope this will help get you started.

statistics  steve, Monday, August 12, 2013 at 1:14pm
0.57
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