Exam 5: A Survey of Probability Concepts

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

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

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

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

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

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In a management trainee program,80% of the trainees are female,while 20% are male. Ninety percent of the females attended college; 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a male who did NOT attend college?

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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.)

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An experiment may have ________.

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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: 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 management or in supervision? What is the probability that the first person selected is either in management or in supervision?

(Multiple Choice)
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To apply the special rule of addition,the events must be mutually exclusive.

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Bayes' theorem is used to calculate a subjective probability.

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

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The probability of rolling a 3 or 2 on a single die is an example of mutually exclusive events.

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If P(A) = 0.62, P(B) = 0.47, and P(A or B) = 0.88, then P(A and B) = ________.

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A developer of a new subdivision wants to build homes that are all different. There are three different interior plans that can be combined with any of five different home exteriors. How many different homes can be built?

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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.

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Giorgio offers the person who purchases an 8-ounce bottle of Allure two free gifts,chosen from the following: 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 select an umbrella and a shaving kit in that order?

(Multiple Choice)
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Your favorite soccer team has two remaining matches to complete the season. The possible outcomes of a soccer match are win,lose,or tie. What is the possible number of outcomes for the season?

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Each salesperson in a large department store chain is rated on his or her sales ability and potential for advancement. The data for the 500 sampled salespeople are summarized in the following table. Each salesperson in a large department store chain is rated on his or her sales ability and 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 he or she also has average sales ability? What is the probability that a salesperson selected at random will have an excellent potential for advancement given he or she also has average sales ability?

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