Question

In the accompanying​ table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability​ distribution, find its mean and standard deviation.

x   P(x)
0   0.03
1   0.13
2   0.32
3   0.25
4   0.17
5   0.10

If the table is a probability​ distribution, what is its​ mean? Select the correct choice below and fill in any answer boxes within your choice.

A.Its mean is

​(Round to the nearest tenth as​ needed.)

B.The table is not a probability distribution.

C.If the table is a probability distribution, what is its deviation?

The standard deviation is ____

The table is not a probability distribution

Answer 1

x	P(x)	xP(x)	x2P(x)
0	0.0300	0.0000	0.0000
1	0.1300	0.1300	0.1300
2	0.3200	0.6400	1.2800
3	0.2500	0.7500	2.2500
4	0.1700	0.6800	2.7200
5	0.1000	0.5000	2.5000
	total	2.7000	8.8800
	E(x) =μ=	ΣxP(x) =	2.7000
	E(x2) =	Σx2P(x) =	8.8800
	Var(x)=σ2 =	E(x2)-(E(x))2=	1.5900
	std deviation=	σ= √σ2 =	1.2610

A)  .Its mean is =2.700

B) The standard deviation is =1.2610