Exam 5: A Survey of Probability Concepts

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 are defective?

The first card selected from a standard 52-card deck was a king. If it is NOT returned to the deck,what is the probability that a king will be drawn on the second selection?

A rug manufacturer has decided to use seven compatible colors in her rugs. However,in weaving a rug,only five 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 five different colors will go into each rug-in other words,there are no repetitions of color.)

An electronics firm sells four models of stereo receivers,three amplifiers,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?

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?

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

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?

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?

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?

If A and B are mutually exclusive events with P(A)= 0.2 and P(B)= 0.6,then P(A or B)= ________.

A combination of a set of objects is defined by the order of the objects.

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?

The complement rule states that the probability of an event not occurring is equal to 1 minus the probability of its occurrence.

When an experiment is conducted "without replacement," ________.

The probability of two or more events occurring concurrently is called a(n)________.

A study of 200 computer service firms revealed these incomes after taxes: What is the probability that a particular firm selected has $1 million or more in income after taxes?

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?

Probabilities are important information when ________.

A survey of top executives revealed that 35% of them regularly read Time magazine,20% read Newsweek,and 40% read U.S. News & World Report. A total of 10% read both Time and U.S. News & World Report. What is the probability that a particular top executive reads either Time or U.S. News & World Report regularly?

A board of directors consists of eight men and four women. A four-member search committee is randomly chosen to recommend a new company president. What is the probability that all four members of the search committee will be women?