Complete parts​ (a) and​ (b) below.   The number of dogs per household in a small town Dogs 0 1 2 3 4 5   Probability 0.629 0.227 0.093 0.027 0.015 0.010       ​(a) Find the​ mean, variance, and standard deviation of the probability distribution.   Find the mean of the probability distribution.   μ=nothing ​(Round to one decimal place as​ needed.) Find the variance of the probability distribution.   σ2=nothing ​(Round to one decimal place as​ needed.) Find the standard deviation of the probability distribution.   σ=nothing ​(Round to one decimal place as​ needed.) ​(b) 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 17 dogs.   B. A household on average has 1.0 dog with a standard deviation of 1.0 dog.   C. A household on average has 0.6 dog with a standard deviation of 1.0 dog.   D. A household on average has 1.0 dog with a standard deviation of 0.6 dog.

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Complete parts​ (a) and​ (b) below.
 
The number of dogs per household in a small town
Dogs
0
1
2
3
4
5
 
Probability
0.629
0.227
0.093
0.027
0.015
0.010
 
 
 
​(a) Find the​ mean, variance, and standard deviation of the probability distribution.
 
Find the mean of the probability distribution.
 
μ=nothing
​(Round to one decimal place as​ needed.)
Find the variance of the probability distribution.
 
σ2=nothing
​(Round to one decimal place as​ needed.)
Find the standard deviation of the probability distribution.
 
σ=nothing
​(Round to one decimal place as​ needed.)
​(b) 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
17
dogs.
 
B.
A household on average has
1.0
dog with a standard deviation of
1.0
dog.
 
C.
A household on average has
0.6
dog with a standard deviation of
1.0
dog.
 
D.
A household on average has
1.0
dog with a standard deviation of
0.6
dog.
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