Exam 5: A Survey of Probability Concepts

What is it called when the order of a set of objects selected from a single group is important? _________

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 classified as a maintenance employee?

There are 10 rolls of film in a box and 3 are defective. Two rolls are selected without replacement. What is the probability of selecting a defective roll followed by another defective roll?

In a management trainee program, 80 percent of the trainees are female, 20 percent male. Ninety percent of the females attended college, 78 percent of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did attend college?

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?

Draw a Venn diagram showing the probability for two mutually exclusive events and a Venn diagram showing the probability for two events that are not mutually exclusive. Explain the difference in the two diagrams.

A lamp manufacturer has developed five lamp bases and four lampshades that could be used together. How many different arrangements of base and shade can be offered?

The ABCD football association is considering a Super Ten Football Conference. The top 10 football teams in the country, based on past records, would be members of the Super Ten Conference. Each team would play every other team in the conference during the season and the team winning the most games would be declared the national champion. How many games would the conference commissioner have to schedule each year? (Remember, Oklahoma versus Michigan is the same as Michigan versus Oklahoma.)

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?

The probability of selecting a professor who is male and has a master's degree is called _______________.

What theorem applies additional information to revise probabilities? _______________

A student organization of 10 wants to select a president, a vice-president, and treasurer. How many different leadership assignments are possible?

How many permutations of the two letters C and D are possible?

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?

A new computer game has been developed and 80 veteran game players will test its market potential. If sixty players liked the game, what is the probability that any veteran game player will like the new computer game? _______

When the special rule of addition is used, the events must be _______________.

The complement rule states that the probability of an event not occurring is equal to one minus the probability of its occurrence.

Airlines monitor the causes of flights arriving late. 75% of flights are late because of weather, 35% of flights are late because of ground operations. 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?

An experiment may have:

An electronics firm sells four models of stereo receivers, three CD decks, and six speaker brands. When the four types of components are sold together, they form a "system." How many different systems can the electronics firm offer?