the following probability distribution represents the number of people living in a household (x), and the probability of occurrence (p(x). compute the expected value (mean), the variance, and standard deviation for the random variable. calculations for the mean.
x 1 2 3 4 5
p(x) .33 .29 .27 .07 .04
Given the value of X (households) = 1, 2, 3, 4, and 5.
Probability of occurrence Px = 0.33, 0.29, 0.27, 0.07, and 0.07
X  PX  x*Px  x2  x2px 
1  0.33  0.33  1  0.33 
2  0.29  0.58  4  1.16 
3  0.27  0.81  9  2.43 
4  0.07  0.28  16  1.12 
5  0.04  0.2  25  1 

 Expected value E(x)= 2.2 
 ∑ x2 * Px = 6.04 
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