a) GetFood (a food delivery company) wants to include a game in its' mobile app as a marketing campaign to encourage more user to use their app to order food. A customer who has ordered a meal has a chance to play the jackpot game to wins coins to offset their bills. A digital game development company has been engaged by the company to develop the new jackpot game. There are four possible pictures in each window of the jackpot machine and the probability of each picture appearing in each window is summarised as below: Picture Name Window 1 Window 2 Window 3 Window 4 Dollar 0.1 0.2 0.1 0.1 Lemon 0.2 0.2 0.3 0.3 Cherry 0.4 0.3 0.4 0.4 Diamond 0.3 0.3 0.2 0.2 If any of the following combinations appears the player wins X number of coins as summaries below: Combination All dollars All lemons All cherries All 3 dollars and 1 diamond cherry (any order) S Win 100 coins 80 coins 20 coins 50 coins 10 coins The game is limited to the first 10,000 who have ordered a meal from the launch of the game. Calculate how much money the company is expected to give out for this marketing campaign. Assume one coin is valued at one dollar. b) GetFood wants to conduct a survey to determine the gender proportion of tablet-platform Operation System (OS) preference. Data are collected and tabulated in the table below: Tablet Platform Robot Gender Male Female iOX 174 58 80 163 Calculate a 95% confidence interval for the difference in proportion of tablet users among males and females

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