The new lucky lady casino wants to increase revenue by providing buses that can transport gamblers from other cities. Research shows that these gamblers tend to be older; they tend to play slot machines only, and they have losses with amen of $182 and a standard deviation of $105. The buses carry 35 gamblers per trip. The casino gives each bus passenger $50 worth of vouchers that can be converted to cash, soothe casino needs to recover that cost in order to make profit. Find the probability that if a bus filled with 35passengers, the mean amount lost by a passenger will exceed$50. Based on the result, does the casino gamble when it provides such buses?