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Need help breaking down these problems 7 For the weekend, you set up a carnival booth at a local fund-raising event. The game is called

Need help breaking down these problems

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7 For the weekend, you set up a carnival booth at a local fund-raising event. The game is called "Spin and Win", and it costs participants $2 per play. Your job is to design a wheel with 6 or more equal slices, and 4 or more outcomes with one of the outcomes to be "Game Over", where the participant wins nothing. Below is an example of my wheel. Design/draw a picture of your wheel on the right. My wheel: It has 6 equal slices with 5 Your wheel: different outcomes. GAME OVER $2 $5 GAME OVER $3 $1 Now, use YOUR wheel to answer the following questions: a). Set up the probability distribution of the random variable, the NET gain/loss for a single $2 bet for you, the owner. b). Find the expected NET gain/loss for you. Is this a fair game? Is it in your favor or the participant's? Explain briefly. c). If you average 28 participants per hour for the 45-hour event, how much money do you expect to make? 8 According to Newsweek magazine, the time spent by preschool kids in front of a screen (includes television, computer, smartphones, etc) per year can be modeled by a normal distribution with a mean equal to 1500 hours and a standard deviation of 230 hours. Make sure to write probability notations and find corresponding Z-scores. a). What percent of the preschool kids spend for more than 1850 hours per year in front of a screen (this is roughly more than 5 hours per day)? b). If a mother claims her child spent less than 1,000 hours in front of a screen last year, would you believe this mother? Explain your answer briefly

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