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

## Answer This Question

## Related Questions

- statistics - A police department reports that the probabilities that 0, 1, 2, ...
- math - A police department reports that the probabilities that 0,1,2, and 3 ...
- Statistics - Suppose the heights of 18-year-old men are approximately normally ...
- statistics - Consider a normal distribution with mean 30 and standard deviation ...
- statistics - Assume a binomial probability distribution has p = .60 and n = 200...
- Math Probability Distribution - A probability distribution has a mean of 57 and ...
- statistics - Let x be a continuous random variable that is normally distributed ...
- statistics - 0.57 of all college students like the idea of a new curriculum. If ...
- Statistics - Information from the American Institute of Insurance indicates the...
- statistics help - The number of ships to arrive at a harbor on any given day is ...

More Related Questions