Question

X P(x)

0 0.3
1 0.3
2 0.1
3 0.3
Find the mean of this probability distribution. Round your answer to one decimal place.

Answer 1

`Mean = 1.4`

Explanation:

Given

The table shown above

Required

Determine the mean

Mean is calculated as thus:

`Mean = \sum (x.P(x))`

In other words, sum the product of corresponding values of x and P(x)

For the given table, we have:

`Mean = 0 * 0.3 + 1 * 0.3 + 2 * 0.1 + 3 * 0.3`

`Mean = 0 + 0.3 + 0.2 + 0.9`

`Mean = 1.4`

Hence, the mean of the distribution is 1.4