Question

A consultant predicts that there is a 25 percent chance of earning $500,000 and a 75 percent chance of earning $100,000. The expected profit is $200,000. The standard deviation is Group of answer choices $120,000. $160,000. $165,699. $173,205.

Answer 1

$173,205

Step-by-step explanation:

According to the scenario, computation of the given data are as follows:

Given data:

Earning (X1) = $500,000

Chances of X1 (Y1) = 25%

Earning (X2) = $100,000

Chances of X2 (Y2) = 75%

Expected Profit (Z) = $200,000

Formula for solving the problem are as follows:

Standard deviation = [ (X1 - Z)^2 × Y1 + (X2 - Z)^2 × Y2 ]^1/2

By putting the value in the formula, we get

Standard deviation = [ ($500,000 - $200000)^2 × 0.25 + ($100,000 - $200,000)^2 × 0.75 ]^1/2

= [ $22,500,000,000 + $7,500,000,000 ]^1/2

= ($30,000,000,000)^1/2

= $173,205.08 or $173,205

Hence, $173,205 is the correct answer.