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Chapter 6: Q. 66 (page 382)
The standard deviation of is
(a)
(b)
(c)
(d)
(e)
The standard deviation of is option
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In the Japanese game show Sushi Roulette, the contestant spins a large wheel that鈥檚 divided into equal sections. Nine of the sections have a sushi roll, and three have a 鈥渨asabi bomb.鈥� 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 or more spins for the contestant to get a wasabi bomb. Show your method clearly
To introduce her class to binomial distributions, Mrs. Desai gives a -item, multiple-choice quiz. The catch is, that students must simply guess an answer (A through E) for each question. Mrs. Desai uses her computer's random number generator to produce the answer key so that each possible answer has an equal chance to be chosen. Patti is one of the students in this class.
Let the number of Patti's correct guesses.
To get a passing score on the quiz, a student must guess correctly at least times. Would you be surprised if Patti earned a passing score? Compute an appropriate probability to support your answer.
Ladies Home Journal magazine reported that of all dog owners greet their dogs before greeting their spouse or children when they return home at the end of the workday. Assume that this claim is true. Suppose dog owners are selected at random. Letthe number of owners who greet their dogs first.
(a) Explain why X is a binomial random variable.
(b) Only of the owners in the random sample greeted their dogs first. Does this give convincing evidence against the Ladies Home Journal claim? Calculate an appropriate probability to support your answer.
Based on the analysis in Exercise , the ferry company decides to increase the cost of a trip to . We can calculate the company鈥檚 profit on a randomly selected trip from the number of cars . Find the mean and standard deviation of. Show your work.
Keno is a favorite game in casinos, and similar games are popular in the states that operate lotteries. Balls numbered to are tumbled in a machine as the bets are placed, then of the balls are chosen at random. Players select numbers by marking a card. The simplest of the many wagers available is 鈥淢ark Number.鈥� Your payoff is on a bet if the number you select is one of those chosen. Because of numbers are chosen, your probability of winning is , or . Let the amount you gain on a single play of the game.
(a) Make a table that shows the probability distribution of .
(b) Compute the expected value of . Explain what this result means for the player
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