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	0.02
1	0.12
2	0.34
3	0.28
4	0.14
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?

B. The table is not a probability distribution.

Answer 1

Solution :

If P(X) = 1 then the tabale is probability distribution .

P(X) = 0.02 + 0.12 + 0.34 + 0.28 + 0.14 + 0.10 = 1

mean = = X * P(X)

= 0 * 0.02 + 1 * 0.12 + 2 * 0.34 + 3 * 0.28 + 4 * 0.14 + 5 * 0.10

= 0 + 0.12 + 0.68 + 0.84 + 0.56 + 0.50

= 2.7

Mena = 2.7