Exam 4: Introduction to Probability

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The range of probability is

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A student has to take 9 more courses before he can graduate.If none of the courses are prerequisite to others,how many groups of four courses can he select for the next semester?

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If A and B are independent events with P(A)= 0.2 and P(B)= 0.6,then P(A \cup B)=

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Assume your favorite football team has 3 games left to finish the season.The outcome of each game can be win,lose,or tie.How many possible outcomes exist?

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From a group of six people,two individuals are to be selected at random.How many possible selections are there?

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Any process that generates well-defined outcomes is

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A perfectly balanced coin is tossed 6 times and tails appears on all six tosses.Then,on the seventh trial

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Given that event E has a probability of 0.31,the probability of the complement of event E

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When the assumption of equally likely outcomes is used to assign probability values,the method used to assign probabilities is referred to as the

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The following table shows the number of students in three different degree programs and whether they are graduate or undergraduate students: The following table shows the number of students in three different degree programs and whether they are graduate or undergraduate students:     a.What is the probability that a randomly selected student is an undergraduate? b.What percentage of students is engineering majors? c.If we know that a selected student is an undergraduate,what is the probability that he or she is a business major? d.A student is enrolled in the Arts and Sciences school.What is the probability that the student is an undergraduate student? e.What is the probability that a randomly selected student is a graduate Business major? a.What is the probability that a randomly selected student is an undergraduate? b.What percentage of students is engineering majors? c.If we know that a selected student is an undergraduate,what is the probability that he or she is a business major? d.A student is enrolled in the Arts and Sciences school.What is the probability that the student is an undergraduate student? e.What is the probability that a randomly selected student is a graduate Business major?

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The multiplication law is potentially helpful when we are interested in computing the probability of

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Initial estimates of the probabilities of events are known as

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If P(A)= 0.7,P(B)= 0.6,P(A \cap B)= 0,then events A and B are

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On a December day,the probability of snow is .30.The probability of a "cold" day is .50.The probability of snow and "cold" weather is .15.Are snow and "cold" weather independent events?

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If P(A)= 0.5 and P(B)= 0.5,then P(A \cap B)

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A method of assigning probabilities based on historical data is called the

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In statistical experiments,each time the experiment is repeated

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A statistics professor has noted from past experience that a student who follows a program of studying two hours for each hour in class has a probability of 0.9 of getting a grade of C or better,while a student who does not follow a regular study program has a probability of 0.2 of getting a C or better.It is known that 70% of the students follow the study program.Find the probability that a student who has earned a C or better grade,followed the program.

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A survey of business students who had taken the Graduate Management Admission Test (GMAT)indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400.Students who do not review have a probability of 0.65 of scoring above 400.It has been determined that 70% of the business students review for the test. a.Find the probability of scoring above 400. b.Find the probability that a student who scored above 400 reviewed for the test.

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The results of a survey of 800 married couples and the number of children they had is shown below. The results of a survey of 800 married couples and the number of children they had is shown below.     If a couple is selected at random,what is the probability that the couple will have  a.Less than 4 children? b.More than 2 children? c.Either 2 or 3 children? If a couple is selected at random,what is the probability that the couple will have a.Less than 4 children? b.More than 2 children? c.Either 2 or 3 children?

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