Find the standard deviation of the random variable with the

Find the standard deviation of the random variable with the following probability distribution:

x

0

2

4

8

10

P(x)

0.04

0.16

0.10

0.48

0.22

Write only a number as your answer. Round to two decimal place

x	0	2	4	8	10
P(x)	0.04	0.16	0.10	0.48	0.22

Solution

x P(x) x*p (x-E(x) ) (x-E(x) )^2* p 0 0.04 0 -6.76 1.827904 2 0.16 0.32 -4.76 3.625216 4 0.1 0.4 -2.76 0.76176 8 0.48 3.84 1.24 0.738048 10 0.22 2.2 3.24 2.309472 Mean, E(x) = 6.76 Variance= 9.2624 Standard deviation= 3.04341913 Standard deviation= 3.04341913