Question
Asked Nov 25, 2019
6 views
he number of dogs per household in a small town
Dogs
0
1
2
3
4
5
 
Probability
0.635
0.228
0.091
0.025
0.014
0.006

 

Find the mean of the probability distribution

find the variance of the probability distribution

find the standard deviation of the probability distribution

interpret the results in the context 

 

I need answers for all 

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Expert Answer

Step 1

The random variable X denotes the number of dogs per household in the town. The formula for mean, variance and standard deviation is given by:

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E (x) - Σ (xx P(x)} ,x = 0,1, 2,3, 4,5 V(X) - ΣΦ (s) - (E(x)} .x= 0.1.2,3,4,5 SD v(x)

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Step 2

Mean of the random variable is,

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Mean E(X) [(0x0.635)+(1x0.228)+ (2x 0.09 1)+(3x 0.025) + (4x0.014)+(5x0.006) =0.571

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Step 3

The variance of the ran...

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Variance V(X (0)x0.635 +(1) x 0.228+ (2) x0.091+ (3) x0.025+(4) x 0.014+ (5) x 0.006-(0.571) -0.865

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