Consider the following probability table to answer the quest

Consider the following probability table to answer the questions 2 and 3.

Find the mean or expected value of this probability distribution.

Find the standard deviation of this probability distribution.

x

P(x)

4

0.01

8

0.03

12

0.05

20

0.09

24

0.50

25

0.28

26

0.04

Solution

Consider the table:

Thus,          
          
E(x) =    22.72 [ANSWER, MEAN]
Var(x) = E(x^2) - E(x)^2 =    19.1216      
s(x) =    4.372825174 [ANSWER, STANDARD DEVIATION]