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
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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
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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