1 Answer

Kishan Vaghela · Answer 1 · 2022-05-17T17:21:40+0000

Answer:

$\sigma_x = 0.57$

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

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