You bet $50 on 00 in a game of roulette. if the wheel spins 00, you have a net win of $1,750, otherwise you lose the $50. a standard roulette wheel has 38 slots numbered 00, 0, 1, 2, , 36. what is the expected profit for one spin of the roulette wheel with this bet?

Mcdonald's fast-food restaurants have a well-designed training program for all new employees. each new employee is supposed to learn how to perform standardized tasks required to maintain mcdonald's service quality. due to labor shortages in some areas, new employees begin work as soon as they are hired and do not receive any off-the-job training. this nonconformity to standards creates

You are a manager at asda. you have been given the demand data for the past 10 weeks for swim rings for children. you decide to run multiple types of forecasting methods on the data to see which gives you the best forecast. if you were to use exponential smoothing with alpha =.8, what would be your forecast for week 22? (the forecast for week 21 was 1277.) week demand 12 1317 13 1307 14 1261 15 1258 16 1267 17 1256 18 1268 19 1277 20 1277 21 1297

Anew 2-lane road is needed in a part of town that is growing. at some point the road will need 4 lanes to handle the anticipated traffic. if the city's optimistic estimate of growth is used, the expansion will be needed in 4 years and has a probability of happening of 40%. for the most likely and pessimistic estimates, the expansion will be needed in 8 and 15 years respectively. the probability of the pessimistic estimate happening is 20%. the expansion will cost $ 4.2 million and the interest rate is 8%. what is the expected pw the expansion will cost?