Venture A Earnings -10 Probability 0.3 50 0.4 60 0.3 Venture B Earnings -5 Probability 0.1 30 0.3 40 0.6 ) Compute the mean and variance for Venture A. x dollars x dollars? 35 ean ariance 885 mpute the mean and variance for 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
-10
Probability
0.3
50
0.4
60
0.3
Venture B
Earnings
Probability
-5
0.1
30
0.3
40
0.6
(a) Compute the mean and variance for Venture A.
35
X dollars
mean
variance
885
x dollars?
Compute the mean and variance for Venture B.
32.5
X dollars
mean
variance
x dollars?
176.25
(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 -10 Probability 0.3 50 0.4 60 0.3 Venture B Earnings Probability -5 0.1 30 0.3 40 0.6 (a) Compute the mean and variance for Venture A. 35 X dollars mean variance 885 x dollars? Compute the mean and variance for Venture B. 32.5 X dollars mean variance x dollars? 176.25 (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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