Answer:
$173,205
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.
