Jerry places a single $5 bet on 4-spot Keno. Find the expected value and the standard deviation of his winnings. In exercise 44 and 45 refer to the following setting. According to the Mars candy company, 20% of its plain are orange. Assume that the claim is true. Suppose that you reach into a large M&M’s candies company’s bag of (without looking) and pull out 8 candies. Let X= the number of orange candies you get. plain M&M’s INDEPENDENCE: 10 % condition satisfies this (we will talk about this much more 2nd semester) Orange M&M’s Explain why X is a binomial variable. Find and interpret the expected value of X. Find and interpret the standard deviation of X. Orange M&M’s Would you be surprised if none of the candies were orange? Compute an appropriate probability to support your answer. How surprising would it be to get 5 or more orange candies? Compute an appropriate probability to support your answer. Sushi Roulette In the Japanese game show Sushi Roulette, the contestants spins a large wheel that’s divided into 12 equal sections. Nine of the sections have a sushi roll, and three have a “wasabi bomb.” When the wheel stops, the contestant must eat whatever food is on that section. To win the game, the contestant must eat one wasabi bomb. Find the probability that it takes 3 or more spins for the contestant to get a wasabi bomb. Show your method clearly.
Jerry places a single $5 bet on 4-spot Keno. Find the expected value and the standard deviation of his winnings. In exercise 44 and 45 refer to the following setting. According to the Mars candy company, 20% of its plain M&M’s candies are orange. Assume that the company’s claim is true. Suppose that you reach into a large bag of plain M&M’s (without looking) and pull out 8 candies. Let X= the number of orange candies you get. INDEPENDENCE: 10 % condition satisfies this (we will talk about this much more 2nd semester) Orange M&M’s Explain why X is a binomial variable. Find and interpret the expected value of X. Find and interpret the standard deviation of X. Orange M&M’s Would you be surprised if none of the candies were orange? Compute an appropriate probability to support your answer. How surprising would it be to get 5 or more orange candies? Compute an appropriate probability to support your answer. Sushi Roulette In the Japanese game show Sushi Roulette, the contestants spins a large wheel that’s divided into 12 equal sections. Nine of the sections have a sushi roll, and three have a “wasabi bomb.” When the wheel stops, the contestant must eat whatever food is on that section. To win the game, the contestant must eat one wasabi bomb. Find the probability that it takes 3 or more spins for the contestant to get a wasabi bomb. Show your method clearly.