Complete parts​ (a) and​ (b) below.   The number of dogs per household in a small town Dogs 0 1 2 3 4 5   Probability 0.647 0.219 0.089 0.022 0.015 0.008 ​(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 0.9 dog with a standard deviation of 0.6 dog.   B. A household on average has 0.6 dog with a standard deviation of 0.9 dog.   C. A household on average has 0.9 dog with a standard deviation of 0.9 dog.   D. A household on average has 0.6 dog with a standard deviation of 15 dogs.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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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
0.647
0.219
0.089
0.022
0.015
0.008
​(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
0.9
dog with a standard deviation of
0.6
dog.
 
B.
A household on average has
0.6
dog with a standard deviation of
0.9
dog.
 
C.
A household on average has
0.9
dog with a standard deviation of
0.9
dog.
 
D.
A household on average has
0.6
dog with a standard deviation of
15
dogs.
 
 

 

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