Answer:
Expected Value = $740
Expected profit = $22.2m
Explanation:
We can easily calculate the expected value and expected profit/loss in this situation by some minor working
Expected values = Expected Claim - per policy cost
Expected profit/loss = (Expected claim - per policy cost) x number of policies
As you can see per policy cost and no of policies are given in the question data we just need to find expected claim for calculation of expected profit or loss and expected value
Expected Claim = (1/100x$10,000)+(1/250x$40,000)+(1/400x$80,000)
Expected Claim = 100 + 160 + 200
Expected Claim = 460
Now we have a value of expected claim lets put it into Expected profit/loss formula and expected value formula
Expected value = 460-1200
Expected value = -740
-$740 is the value per policy
Expected profit/loss = (460 - $1200 per policy) x 30,000
Expected profit or loss = -22,200,000
Expected loss to the customer = -$22.2 m
Expected profit for the company = $22.2m
