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# Probability Distribution: Mean, Variance & S.D.

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

#### Solution Summary

The solution provides step by step method for the calculation of mean, variance and standard deviation of a probability distribution. Formula for the calculation and Interpretations of the results are also included.

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