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

The normal model N (58, 21) describes the distribution of weights of chicken eggs in grams. Suppose that the weight of a randomly selected chicken egg has a z-score of -2.01. What is the weight of this egg in grams? Round to the nearest hundredth of a gram.

Use the following information for following questions . A police radar gun is used to measure the speeds of cars on a highway. The speeds of cars are normally distributed with a mean of 55 mi/hr and a standard deviation of 5 mi/hr. -Roughly what proportion of cars are driving between 60 and 70 mi/hr? Round to the nearest thousandth)

The normal distribution below reflects a data set of gas consumption (in miles per gallon) for a group of trucks. The center is shown at 24 mpg and the standard deviation is 4 mpg. Choose the most accurate statement.

Use the following information for following questions . The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately normally distributed. -For a randomly selected worker, what's the approximate probability the bolt will be inserted in 19 minutes or less? Round to the nearest whole percent.

Determine which of the given procedures describe a binomial distribution.

Use the following information to answer questions (3)-(4). A package delivery service divides their packages into weight classes. Suppose that the packages in the 14-20 pound class are uniformly distributed, meaning that all weights within that class are equally likely to occur. The probability density curve is shown below. -Find the probability that a package weighs between 14 and 18 pounds?

Use the following information for following questions . A box contains recipes from five categories. The following table shows the possible categories and the associated probability for a recipe randomly chosen. -What is the probability of randomly selecting anything but a vegetable or main dish category? Round to the nearest tenth of a percent.

Use the following information to answer questions (3)-(4). A package delivery service divides their packages into weight classes. Suppose that the packages in the 14-20 pound class are uniformly distributed, meaning that all weights within that class are equally likely to occur. The probability density curve is shown below. -Find the probability that a package weighs less than 20 pounds?

Use the following information to answer questions . -What is the approximate probability that x is equal to 5 or less? Round to nearest hundredth place.

Use the following information for following questions . A box contains recipes from five categories. The following table shows the possible categories and the associated probability for a recipe randomly chosen. -What is the probability of randomly selecting either an appetizer or salad category? Round to the nearest tenth of a percent.

Use the following information for following questions . A police radar gun is used to measure the speeds of cars on a highway. The speeds of cars are normally distributed with a mean of 55 mi/hr and a standard deviation of 5 mi/hr. -Roughly what percentage of cars are driving less than 45 mi/hr? (Round to the nearest tenth of a percent)

Determine whether the variable would best be modeled as continuous or discrete: The amount of time it takes students to get to school.

Determine which of the given procedures describe a binomial distribution.

Use the following information for following questions . The Normal distribution below models the distribution of highway gas consumption (in miles per gallon) for a large collection of SUVs when driving on level roads. The center is shown at 24.8 mpg and the standard deviations reflect the spread of the data. -Choose the most accurate statement.

Use the following information for following questions . The Normal distribution below models the distribution of highway gas consumption (in miles per gallon) for a large collection of SUVs when driving on level roads. The center is shown at 24.8 mpg and the standard deviations reflect the spread of the data. -Choose the most accurate statement.

Admission to a certain university is determined by an entry exam. The scores of this test are Normally distributed with a mean of 400 and a standard deviation of 60. Only students who score in the top 30% will be offered admission. Amy scores 425 on the test. Choose the most accurate statement.

Determine whether the variable would best be modeled as continuous or discrete: The number of cups dispensed from a beverage vending machine during a 24-hour period.

Use the following information for following questions . 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. -What is the travel time to work that separates the bottom 2.5% of people with the median or 50%? Round to the nearest tenth of a minute.

Use the following information to answer questions . A package delivery service divides their packages into weight classes. Suppose that the packages in the 14-20 pound class are uniformly distributed, meaning that all weights within that class are equally likely to occur. The probability density curve is shown below. -Find the probability that a randomly selected package will weigh between 16 and 18 pounds.

Use the following information for following questions . 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. -Approximately what percentage of people living and working in Kokomo have a travel time to work that is less than 12.5 minutes? Round to the nearest whole percent.