Exam 5: A Survey of Probability Concepts

What does the complement rule state?

A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defective. What is the probability that the first two electric toothbrushes sold will be returned because they are defective?

The joint probability of two independent events, A and B, is computed as P(A and B) = P(A) P(B).

The joint probability of two events that are not independent, P(A and B), is computed as _______________.

A group of employees of Unique Services will be surveyed about a new pension plan. In-depth interviews with each employee selected in the sample will be conducted. The employees are classified as follows: What is the probability that the first person selected is either in maintenance or in secretarial?

A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of the employees needed corrective shoes, 15% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work?

A method of assigning probabilities based upon judgment, opinions, and available information is referred to as the:

A graphical method used to calculate joint and conditional probabilities is __________.

A tire manufacturer advertises, "the median life of our new all-season radial tire is 50,000 miles. An immediate adjustment will be made on any tire that does not last 50,000 miles." You purchased four of these tires. What is the probability that all four tires will wear out before traveling 50,000 miles?

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 black or orange are the favorite colors?

An illustration of an experiment is turning the ignition key of an automobile as it comes off the assembly line to determine whether or not the engine will start.

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 has above average sales ability and has excellent potential for advancement?

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 15% of flights are late because of weather and ground operations. What is the probability that a flight arrives late because of weather or ground operations?

If two events are mutually exclusive, then P(A and B) = P(A)P(B).

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 average sales ability?

When applying the special rule of addition for mutually exclusive events, the joint probability is _______.

A company set up a kiosk in the Mall of America for several hours and asked randomly selected people which color cell phone was their favorite. The results follow: What is an outcome of this experiment?

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 black is the favorite color, given that the person's age is 21 or older?

The particular result of an experiment is called a(n) _________.

In flipping a fair coin, what is the probability of both heads and tails on one toss?