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# 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

https://brainmass.com/statistics/probability/mean-standard-deviation-probability-distribution-484528

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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.

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