In: Statistics and Probability
David, the promoter of an outdoor concert, expects a net profit of $100,000, unless it rains, which would reduce the net profit to $30,000. The probability of rain is 0.30 For a premium of $23,000 David can purchase insurance coverage that would pay him $100,000 in case of rain. Find the expected net profit when the insurance is not purchased.
P(Rain) = 0.30
P(No rain) = 1 - 0.30 = 0.70
When insurance is not purchased, the expected net profit = Profit when it rains x P(rain) - Profit when it does not rain x P(no rain)
= 30,000x0.30 + 100,000x0.70
= $79,000
Note: When insurance is purchased, expected net profit = 100,000 - 23,000 = $77,000