Question

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

Answer 1

Answer:

$\sigma_x = 0.57$

Step-by-step explanation:

Given

$\mu_x = 6$

See attachment

Required

Calculate $\sigma_x$

This is calculated as:

$\sigma_x = \sqrt{Var(x)}$

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