A frequency distribution is shown below. Complete parts (a) through (e).

The number of dogs per household in a small town

Dogs 0 1 2 3 4 5

Households 1157 417 168 45 26 16

a) Use the frequency distribution to construct a probability distribution.

X P(X)

0

1

2

3

4

5

b) Find the mean of the probability distribution.

c) Find the variance of the probability distribution.

=

d) Find the standard deviation of the probability distribution.

e)

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

A. A household on average has 0.6 dog with a standard deviation of 1.0 dog.

B. A household on average has 0.6 dog with a standard deviation of 16 dog.

C. A household on average has 1.0 dog with a standard deviation of 0.6 dog.

D. A household on average has 0.9 dog with a standard deviation of 1.0 dog

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