Paul Hunt is considering two business ventures. The anticipated returns (in thousands of dollars) of each venture are described by the following probability distributions. Venture A Earnings Probability -20 0.4 50 0.3 60 0.3 Venture B Earnings Probability -5 0.3 30 0.3 60 0.4 (a) Compute the mean and variance for Venture A. mean dollars variance dollars2 Compute the mean and variance for Venture mean dollars variance dollars? (b) Which investment would provide Paul with the highest expected return (the greater mean)? O Venture A O Venture B (c) In which investment would the element of risk be less (that is, which probability distribution has the smaller variance)? O Venture A O Venture B

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Paul Hunt is considering two business ventures. The anticipated returns (in thousands of dollars) of each venture are described by the following probability distributions.
Venture A
Earnings
Probability
-20
0.4
50
0.3
60
0.3
Venture B
Earnings
Probability
-5
0.3
30
0.3
60
0.4
(a) Compute the mean and variance for Venture A.
mean
dollars
variance
dollars2
Compute the mean and variance for Venture
mean
dollars
variance
dollars?
(b) Which investment would provide Paul with the highest expected return (the greater mean)?
O Venture A
O Venture B
(c) In which investment would the element of risk be less (that is, which probability distribution has the smaller variance)?
O Venture A
O Venture B
Transcribed Image Text:Paul Hunt is considering two business ventures. The anticipated returns (in thousands of dollars) of each venture are described by the following probability distributions. Venture A Earnings Probability -20 0.4 50 0.3 60 0.3 Venture B Earnings Probability -5 0.3 30 0.3 60 0.4 (a) Compute the mean and variance for Venture A. mean dollars variance dollars2 Compute the mean and variance for Venture mean dollars variance dollars? (b) Which investment would provide Paul with the highest expected return (the greater mean)? O Venture A O Venture B (c) In which investment would the element of risk be less (that is, which probability distribution has the smaller variance)? O Venture A O Venture B
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