# Find mean and standard deviation from probability distribution

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Dogs Households

0 1327

1 402

2 162

3 47

4 28

5 11

(a)

Use a frequency distribution to construct a probability distribution

x P(x)

0

1

2

3

4

5

Round to the nearest Thousandth as needed

Dogs 0 1 2 3 4 5

Households 1327 402 162 47 28 11

(b) Find the mean of the probability distribution

U = (Round to nearest tenth as needed)

c. Find the variance of the probability distribution.

Variance = (Round to nearest tenth as needed)

d. Find the standard deviation of probability distribution.

Standard deviation = (Round to nearest tenth as needed)

e. Interpret the results of the context of the real-life situation

(Choose One)

(a) A household on average has 0.8 dog with a standard deviation of 0.9 dog

(b) A household on average has 0.5 dog with a standard deviation of 0.9 dog

(c) A household on average has 0.5 dog with a standard deviation of 11 dog

(d) A household on average has 0.9 dog with a standard deviation of 0.5 dog

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Dogs Households

0 1327

1 402

2 162

3 47

4 28

5 11

(a)

Use a frequency distribution to construct a probability distribution

1327+402+162+47+28+11=1977

x P(x)

0 1327/1977=0.671

1 402/1977=0.203

2 162/1977=0.082

3 47/1977=0.024

4 28/1977=0.014

5 11/1977=0.006

Round to the nearest Thousandth as ...

#### Solution Summary

The solution provides detailed explanation how to find out mean and standard deviation from probability distribution.