Question

**ASAP**

Consider the discrete random variable XX given in the table below. Calculate the mean, variance, and standard deviation of XX.

XX	4	5	8	10	13	14	17
P(XX)	0.12	0.29	0.14	0.12	0.09	0.11	0.13

μ =
σ2 =
σ =

Answer 1

Solution :

x	P(x)	x * P(x)	x2 * P(x)
4	0.12	0.48	1.92
5	0.29	1.45	7.25
8	0.14	1.12	8.96
10	0.12	1.2	12
13	0.09	1.17	15.21
14	0.11	1.54	21.56
17	0.13	2.21	37.57
Sum	1	9.17	104.47

Mean = = X * P(X) = 9.17

Variance = ² = X ² * P(X) - ² = 104.47 - 9.17² = 20.3811

Standard deviation =

=X ² * P(X) - ²

=  20.3811

= 4.514543