Random Assignment of Professors A study randomly assigned students attending the Air Force Academy to different professors for Calculus I, with equal numbers of students assigned to each professor. Some professors were experienced, and some were relatively inexperienced. Suppose the names of the professors are Peters, Parker, Diaz, Nguyen, and Black. Suppose Diaz and Black are inexperienced and the others are experienced. The researchers reported that the students who had the experienced teachers for Calculus I did better in Calculus II. a. List the equally likely outcomes that could occur for assignment of one student to a professor. b. Suppose the event of interest, event A, is that a teacher is experienced. List the outcomes that make up event A. c. What is the probability that a student will be assigned to an experienced teacher? d. List the outcomes in the complement of event A. Describe this complement in words. e. What is the probability that a student will be assigned to an inexperienced teacher?
Random Assignment of Professors A study randomly assigned students attending the Air Force Academy to different professors for Calculus I, with equal numbers of students assigned to each professor. Some professors were experienced, and some were relatively inexperienced. Suppose the names of the professors are Peters, Parker, Diaz, Nguyen, and Black. Suppose Diaz and Black are inexperienced and the others are experienced. The researchers reported that the students who had the experienced teachers for Calculus I did better in Calculus II. a. List the equally likely outcomes that could occur for assignment of one student to a professor. b. Suppose the event of interest, event A, is that a teacher is experienced. List the outcomes that make up event A. c. What is the probability that a student will be assigned to an experienced teacher? d. List the outcomes in the complement of event A. Describe this complement in words. e. What is the probability that a student will be assigned to an inexperienced teacher?
Solution Summary: The author states the equally likely outcomes in an experiment of assigning a student to one of the five professors for Calculus I.
Random Assignment of Professors A study randomly assigned students attending the Air Force Academy to different professors for Calculus I, with equal numbers of students assigned to each professor. Some professors were experienced, and some were relatively inexperienced. Suppose the names of the professors are Peters, Parker, Diaz, Nguyen, and Black. Suppose Diaz and Black are inexperienced and the others are experienced. The researchers reported that the students who had the experienced teachers for Calculus I did better in Calculus II.
a. List the equally likely outcomes that could occur for assignment of one student to a professor.
b. Suppose the event of interest, event A, is that a teacher is experienced. List the outcomes that
make up event A.
c. What is the probability that a student will be assigned to an experienced teacher?
d. List the outcomes in the complement of event A. Describe this complement in words.
e. What is the probability that a student will be assigned to an inexperienced teacher?
Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.
a small pond contains eight catfish and six bluegill. If seven fish are caught at random, what is the probability that exactly five catfish have been caught?
23 The line graph in the following figure shows
Revenue ($ millions)
one company's revenues over time. Explain
why this graph is misleading and what you
can do to fix the problem.
700
60-
50-
40
30
Line Graph of Revenue
20-
101
1950
1970
1975 1980 1985
Year
1990
2000
d of the
20
respectively.
Interpret the shape, center and spread of the
following box plot.
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13
12
11
10
6
T
89
7
9
5.
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University Calculus: Early Transcendentals (4th Edition)
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