mat 142 lecture video series. expected value objectives determine the expected value of an event
TRANSCRIPT
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MAT 142Lecture Video
Series
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Expected Value
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Objectives
• Determine the expected value of an event.
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Vocabulary
• expected value • decision theory
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Of all workers at a certain factory, the proportions earning certain hourly wages are as follows:
Find the expected hourly wage that a worker at this factory makes.
hourly wage
$8.50 $9.00 $9.50 $10.00$12.5
0$15.00
proportion
20% 15% 25% 20% 15% 5%
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Suppose you are taking a multiple-choice test where each question has choices a through e. If you get the answer correct, you get 4 points. If you get a wrong answer, you lose 1 point.
Find the expected value of a random guess.
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Suppose you are taking a multiple-choice test where each question has choices a through e. If you get the answer correct, you get 4 points. If you get a wrong answer, you lose 1 point. Find the expected value of eliminating one answer and guessing among the remaining 4 possible answers.
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Suppose you are taking a multiple-choice test where each question has choices a through e. If you get the answer correct, you get 4 points. If you get a wrong answer, you lose 1 point. Find the expected value of eliminating two answers and guessing among the remaining 3 possible answers.
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Suppose you are taking a multiple-choice test where each question has choices a through e. If you get the answer correct, you get 4 points. If you get a wrong answer, you lose 1 point. Use decision theory and your previous answers to create a guessing strategy for this multiple-choice test.
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Creator and Producer
Elizabeth Jones
for
The School of Mathematical and Statistical Sciences
atArizona State University
Videographer
Mike Jones
©2009 Elizabeth Jones and School of Mathematical and Statistical Sciences at Arizona State University