Question

Given that ux=$6 calculate o x •round your answer to two decimal places

Answer 1

`\sigma_x = 0.57`

Explanation:

Given

`\mu_x = 6`

See attachment

Required

Calculate
`\sigma_x`

This is calculated as:

`\sigma_x = √(Var(x))`

Where

`Var(x) =\sum (x - \mu_x)^2 * P(x)`

So, we have:

`Var(x) =(0 - 0.4)^2 * 0.64 + (1 - 0.4)^2 * 0.32 + (2 - 0.4)^2 * 0.04`

Using a calculator

`Var(x) =0.32`

`\sigma_x = \sqrt{Var(x)`

`\sigma_x = \sqrt{0.32`

`\sigma_x = 0.57` --- approximated