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A frequency distribution is shown below. Complete parts​ (a) through​ (e). The number of dogs per...

A frequency distribution is shown below. Complete parts​ (a) through​ (e). The number of dogs per household in a small town.

​(a) Use the frequency distribution to construct a probability distribution. ​(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) Using the found values of the mean and the standard​ deviation, an interpretation of the results in the context of the​ real-life situation is that a household on average has _ dog with a standard deviation of _ dog.

Dogs x=0 1 2 3 4 5

Households p(x)= 1225 408 164 44 25 15

Solutions

Expert Solution

Solution:

The total number of households having dogs is
1225+408+164+44+25+15 =1881

e) A household on average has 1.17 dog with a standard deviation of 0.9314 dog

milcah answered 1 year ago
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