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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