Calculate the expected value of the following game. If you win the game, your wealth will increase by 36 times your wager. If you lose, you lose your wager amount. The probability of winning is 
Calculate the variance of the game.
Definitions:
Total Sales
The total revenue generated from the sale of products or services.
Monopolistically Competitive
Pertains to a market structure where numerous firms sell products or services that are similar but slightly differentiated, leading to non-price competition.
Herfindahl Index
A measure of market concentration that squares the market share of each firm in the industry, often used to indicate monopolistic or competitive tendencies.
Monopolistically Competitive
A market structure where many firms sell products that are similar but not identical, allowing for competition based on quality, price, and marketing.
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