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.
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
Get Answers For Free
Most questions answered within 1 hours.