Exam 5: A Survey of Probability Concepts

Probabilities are important information when __________.

A sales representative calls on four hospitals in Westchester County. It is immaterial what order he calls on them. How many ways can he organize his calls?

Each salesperson in a large department store chain is rated on their sales ability and their potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. What is the probability that a salesperson selected at random will have an excellent potential for advancement given they also have above average sales ability?

The numbers 0 through 9 are used in code groups of four to identify an item of clothing. Code 1083 might identify a blue blouse, size medium. The code group 2031 might identify a pair of pants, size 18, and so on. Repetitions of numbers are not permitted-in other words, the same number cannot be used more than once in a total sequence. As examples, 2,256, 2,562, or 5,559 would not be permitted. How many different code groups can be designed?

One card will be randomly selected from a standard 52-card deck. The probability that it will be the jack of hearts is ____.

Airlines monitor the causes of flights arriving late. A total of 75% of flights are late because of weather, while 35% of flights are late because of ground operations. A full 10% of flights are late because of weather and ground operations. What is the joint probability that a flight arrives late because of weather and ground operations?

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone cover was their favorite. The results follow: What is the probability that orange is the favorite color, given that the person's age is less than 21?

The _________ approach to probability is based on a person's belief, opinion, or judgment.

Giorgio offers the person who purchases an 8-ounce bottle of Allure two free gifts, chosen from the following: an umbrella, a 1-ounce bottle of Midnight, a feminine shaving kit, a raincoat, or a pair of rain boots. If you purchased Allure, what is the probability you randomly selected an umbrella and a shaving kit in that order?

In a management trainee program, 80% of the trainees are female, while 20% are male. Ninety percent of the females attended college; 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a male who did NOT attend college?

In a study of student preference of energy drinks, the researcher has identified a population of 10 students. To get a quick result, the researcher will select a sample of two students. How many different samples are possible?

In a management trainee program, 80% of the trainees are female, while 20% are male. Ninety percent of the females attended college; 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a male who did NOT attend college?

The theorem that applies additional information to revise probabilities is called ________.

If there are five vacant parking places and five automobiles arrive at the same time, the number of different ways they can park is ____.

If two events are independent, then their joint probability is computed with _________.

An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight and some were overweight, but most of them had satisfactory weight. What is the probability of selecting three packages that are overweight?

Bayes' theorem is a method to revise the probability of an event given additional information.

If two events A and B are mutually exclusive, what does the special rule of addition state?

Each salesperson in a large department store chain is rated on their sales ability and their potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. What is the probability that a salesperson selected at random will have below average sales ability and fair potential for advancement?

A study of interior designers' opinions with respect to the most desirable primary color for executive offices showed the following: What is the probability that a designer does not prefer blue?