Exam 5: A Survey of Probability Concepts

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

A rug manufacturer has decided to use 7 compatible colors in her rugs. However, in weaving a rug, only 5 spindles can be used. In advertising, the rug manufacturer wants to indicate the number of different color groupings for sale. How many color groupings using the seven colors taken five at a time are there? (This assumes that 5 different colors will go into each rug, i.e., there are no repetitions of color.)

You have the assignment of designing color codes for different parts. Three colors are used on each part, but a combination of three colors used for one part cannot be rearranged and used to identify a different part. This means that if green, yellow and violet were used to identify a camshaft, yellow, violet and green (or any other combination of these three colors) could not be used to identify a pinion gear. If there are 35 combinations, how many colors were available?

To summarize the frequencies of two nominal or ordinal variables and compute conditional probabilities, what table can be used? _______________

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 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?

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 the probability that a person would select orange as their favorite color?

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?

What is the difference between a permutation and a combination?

Giorgio offers the person who purchases an 8 ounce bottle of Allure two free gifts, either 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?

Suppose four heads appeared face up on four tosses of a coin. What is the probability that a head will appear face up in the next toss of the coin? _____

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?

The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection?

When are two outcomes independent? Explain in terms of the rules of probability. A. In other words, the probability of A is unaffected by B.

Six basic colors are used in decorating a new condominium. They are applied to a unit in groups of four colors. One unit might have gold as the principal color, blue as a complementary color, red as the accent color and touches of white. Another unit might have blue as the principal color, white as the complimentary color, gold as the accent color and touches of red. If repetitions are permitted, how many different units can be decorated?

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, lime or orange are the favorite colors given that the person's age is 21 or older?

What does equal?

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?

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

Complete the following analogy: an experiment relates to outcome, as the role of a die relates to _____.