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The next three questions relate to table 1 showing three profit payoffs with ass

ID: 3053261 • Letter: T

Question

The next three questions relate to table 1 showing three profit payoffs with associated probabilities.



Table 1

Profit

Probability

$30

40

50

60

0.05
0.25
0.60
0.10



What is the expected profit for this distribution?

$11.87

$46

$47.5

$48.75

None of the above.

5 points   

QUESTION 8

Refer to table 1. What is the standard deviation of this distribution?

6.98

48.74

22.91

8.37

3.45

5 points   

QUESTION 9

What is the coefficient of variation for this distribution?

1.67

18.6

0.147

1.03  

Profit

Probability

$30

40

50

60

0.05
0.25
0.60
0.10

Explanation / Answer

Ans:

7)Expected profit=47.5

Option c is correct.

8)Variance=48.75

standard deviation=sqrt(48.75)=6.98

option a is correct.

9)Cofficient of variation=6.98/47.5=0.147

option d is correct.

Profit(x) p(x) x*p(x) (x-47.5)^2*p(x) 30 0.05 1.50 15.3125 40 0.25 10.00 14.0625 50 0.6 30.00 3.75 60 0.1 6.00 15.625 Total= 1 47.50 48.75
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