Question

The probability distribution of a random variable X is given. -198 -195 -191 -188 -185 p(X x) 0.20 0.25 0.30 0.15 0.10 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation Need Help? Read it

Answer 1

Answer:

X	P(X)	x*p(x)	(x-mean)^2*p(x)
-198	0.2	-39.6	6.3845
-195	0.25	-48.75	1.7556
-191	0.3	-57.3	0.5467
-188	0.15	-28.2	2.8384
-185	0.1	-18.5	5.4022
Total	1.000	-192.350	16.9275

$Mean = \sum x*p(x) = -192.350$

$Variance = \sum (x-mean)^2*p(x) =16.9275$

$Standard \ deviation = sqrt( 16.9275) = 4.1143$

Result two decimals

Mean = -192.35

Variance = 16.93

Standard deviation = 4.11