Question

1. The following table shows the probability distribution for the number of television sets per household surveyed.

1. Complete the table below. For the first three columns, round to two decimal places. For the last column, round to four decimal places. (4 points)

x	f(x)	(x)[f(x)]	x– μ	(x– μ)2	(x – μ)2f(x)
0	0.03
1	0.32
2	0.26
3	0.21
4	0.13
5	0.05
	1.00

2. Compute the expected value [E(x)] of the number of television sets per household. (2 points)

3. What is the variance [Var(x)] of the number of television sets per household? (2 points)

4. What is the standard deviation [SD(x)] of the number of television sets per household? (2 points)

Answer 1

Mean:

a)

Computational table:

X	f(X)	X*f(x)	X-mean	(X-mean)^2	(X-mean)^2 * f(x)
0	0.03	0	-2.24	5.02	0.1505
1	0.32	0.32	-1.24	1.54	0.4920
2	0.26	0.52	-0.24	0.06	0.0150
3	0.21	0.63	0.76	0.58	0.1213
4	0.13	0.52	1.76	3.10	0.4027
5	0.05	0.25	2.76	7.62	0.3809
Total	1	2.24	1.56	17.91	1.5624

b)

E(X) = Mean:

Where,

C)

Var (X)

D)