Exam 6: Modeling Random Events: the Normal and Binomial Models

Determine whether the variable would best be modeled as continuous or discrete: The temperature of a greenhouse at a certain time of the day.

Use the following information for the question. Male players at the high school, college and professional ranks use aregulation basketball that weighs 22.0 ounces with a standard deviation of 1.0 ounce. Assume that the weights of basketballsare approximately normally distributed. -If a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces? Round to the nearest thousandth.

Use the following information to answer the question. Suppose that the probability that a person books an airline ticket usingan online travel website is 0.72. For the questions that follow, consider a sample of ten randomly selected people whorecently booked an airline ticket. -What is the probability that at least nine out of ten people used an online travel website when they booked their airline ticket? Round to the nearest thousandth.

Suppose that weights of cans of AJ's brand whipped cream have a population mean of 7.5 ouncesand a population standard deviation of 0.27 ounces and are approximately normally distributed.Which of the following statements are correct? Choose the best statement.

Use the information that follows to answer the question. Circumferences of regulation soccer balls have a mean of 69 cm withas standard deviation of 1.50 cm. Assume that the circumferences of soccer balls are approximately normally distributed. -If a regulation soccer ball is randomly selected, what is the probability that it will have acircumference between 66.9 and 68.9 cm? Round to the nearest thousandth.

Use the following information to answer the question. Suppose that the probability that a person books an airline ticket using an online travel website is 0.72. For the questions that follow, consider a sample of ten randomly selected people who recently booked an airline ticket. -What is the probability that exactly seven out of ten people used an online travel website when they booked their airline ticket? Round to the nearest thousandth.

Use the following information to answer the question. Suppose that the probability that a person books a hotel using an online travel website is 0.68. For the questions that follow, consider a sample of fifteen randomly selected people who recently booked a hotel. -What is the probability that at least fourteen out of fifteen people used an online travel websitewhen they booked their hotel? Round to the nearest thousandth.

Using the information from question (2), find the probability that the reaction time willoccur after fourteen minutes, but before fifteen minutes. Shade the appropriate area andcalculate the numerical value of the probability.

Use the following information for the question. The average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed. -Suppose that it is reported in the news that 12% of the people living and working in Kokomo feelthat their commute is too long. What is the travel time to work that separates the top 12% of peoplewith the longest travel times and the lower 88%? Round to the nearest tenth of a minute.

At a course in public speaking, the instructor always gives an opening speech that lasts betweenfifteen and eighteen minutes. The length of the speech can be modeled by a uniform distribution,that is, the speech is just as likely to last fifteen minutes as it is to last eighteen minutes. Theprobability density curve is shown below. What is the probability that the speech will last at leastseventeen minutes? What is the probability that the speech will last between fifteen and sixteenminutes?

A box containing recipes from five categories is dropped so that the recipe cards are thoroughly mixed up. The following table shows the possible categories and the associated probability for a Recipe randomly chosen. Does the table represent a probability distribution? Category Probability Main Dish 0.421 Appetizer 0.210 Desert 0.103 Salad 0.173 Vegetable 0.093

Use the following information for the question. Suppose that the probability that the train travelling from Holland, Michigan to Chicago, Illinois arrives on time is 0.80. For the questions that follow, consider a sample of twenty randomly selected train trips. -What is the probability that exactly fifteen trips out of twenty will arrive in Chicago ontime? Round to the nearest thousandth.

Use the following information to answer the question. Suppose that the probability that a person books a hotel using an online travel website is 0.68. For the questions that follow, consider a sample of fifteen randomly selected people who recently booked a hotel. -What is the probability that no more than four out of fifteen people used an online travel website when they booked their hotel? Round to the nearest thousandth.

Five identical poker chips are tossed in a hat and mixed up. Two of the chips have been markedwith an X to indicate that if drawn a valuable prize will be awarded. If you and three of yourfriends each draws a chip (with replacement), what is the probability that at least one of your groupof four will win the valuable prize? Round to the nearest thousandth.

Which of the following characteristics are not required for the binomial model?

Determine which of the given procedures describe a binomial distribution.

Use the following information for the question. The average travel time to work for a person living and working in Kokomo,Indiana is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel timeis approximately normally distributed. -Which of these statements is asking for a probability?

The normal modelN(210,45) describes the weights of baby elephants in pounds. Supposethat the weight of a randomly selected baby elephant has a z-score of-1.35. What is theweight of this baby elephant in pounds? Round to the nearest tenth of a pound.

Use the following information for the question. Male players at the high school, college and professional ranks use aregulation basketball that weighs 22.0 ounces with a standard deviation of 1.0 ounce. Assume that the weights of basketballsare approximately normally distributed. -Would it be unusual to randomly select a regulation basketball and find that it weighs 17.9 ounces?

Use the following information for the question. On a busy day, the average roller coaster wait time at a large amusementpark is 27 minutes. Suppose the standard deviation of wait time is 11.9 minutes and the distribution of wait times isapproximately normally distributed. -If it is a busy day, approximately what percentage of people at the amusement park willhave a wait time that is at least 30 minutes? Round to the nearest whole percent.