Exam 4: Introduction to Probability

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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 if a student who has earned a C or better grade, he/she followed the program.

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If P(A) 0.62, P(B) 0.47, and P(A B) 0.88; then P(A B)

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Assume you are taking two courses this semester (A and B). Based on your opinion, you believe the probability that you will pass course A is 0.835; the probability that you will pass both courses is 0.276. You further believe the probability that you will pass at least one of the courses is 0.981. a.What is the probability that you will pass course B? b.Is the passing of the two courses independent events? Use probability information to justify your answer. c.Are the events of passing the courses mutually exclusive? Explain. d.What method of assigning probabilities did you use?

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The probability of an event is

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Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Person A. A tablet is then selected and given to Person b.What is the probability that a.Person A was given a vitamin tablet? b.Person B was given a sugar tablet given that Person A was given a vitamin tablet? c.neither was given vitamin tablets? d.both were given vitamin tablets? e.exactly one person was given a vitamin tablet? f. Person A was given a sugar tablet and Person B was given a vitamin tablet? g. Person A was given a vitamin tablet and Person B was given a sugar tablet?

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Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 3 customers and determining whether or not they purchase any merchandise. The number of sample points in this experiment is

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

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