Exam 5: A Survey of Probability Concepts

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?

A collection of one or more possible outcomes of an experiment is called an ____________.

Based on a classical approach,the probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes.

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

A joint probability measures the likelihood that two or more events will happen concurrently.

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 satisfactory?

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

The Cunard luxury liner,Queen Elizabeth 2,cannot be docked in Hong Kong and Bangkok at the same time.Events such as these that cannot occur simultaneously are said to be outcomes.

If an experiment,such as a die-tossing experiment,has a set of events that includes every possible outcome,the set of events is called collectively exhaustive.

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

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?

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 average sales ability and good potential for advancement?

The result of a particular experiment is called a(n)

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

A probability is a number from -1 to + 1.

A tree diagram is very useful for portraying conditional and joint probabilities.

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

When an experiment is conducted "without replacement,"

A student received an "A" on the first test of the semester.The student wants to calculate the probability of scoring an "A" on the second test.Historically,the instructor knows that the joint probability of scoring "A"'s on the first two tests is 0.5.Also,historically,the probability that a student scores an "A" on the second test given that a student scored an "A" on the first test is 0.9.What is the probability that a student will score an "A" on the second test?