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The outcome under each plan foreach state of the economy is given in the table b

ID: 1233051 • Letter: T

Question

The outcome under each plan foreach state of the economy is given in the table

below. Figures in the table areprofits measured in dollars. The probabilities for

Thevariance of profits in case of discount line outcome willbe:

A.782529468

B.790496496

C.801235659

D.823526908

4.The standard deviation of profits for Specialty line outcome willbe:

A.73111.2534

B.76225.6326

C.80212.5632

D.81396.5842

B.25121.85

C.26258.58

D.28115.77

6.Base on the calculations of standard deviation in both cases, whichof

thefollowing statements is TRUE:

A. Discountline is more risky.

B. Specialtyline is more risky.

C. Level ofrisk is same in both cases.

7.What is the advantage of the standard deviation over theaverage

deviation?

A. Becausethe standard deviation requires squaring of deviationsbefore

furthercomputation, positive and negative deviations do not cancelout.

B. Becausethe standard deviation does not require squaring of deviations,it

is easy totell whether deviations are positive or negative.

C. Thestandard deviation expresses the average deviation inpercentage

terms, sothat different choices can be more easilycompared.

D. Thestandard deviation transforms subjective probabilities intoobjective

ones so thatcalculations can be performed.

Economic conditions Probability Growth 0.3 Normal 0.5 Recession 0.2

Explanation / Answer

Variance of profits in case of discount line B) 790496496 4. Standard deviation of profits for specialty line 79741 (given by none of the choices, perhaps there is a typo in thenumbers?) 5. Standard deviation of profits for discount line D) 28115.77 6. B) Based on the calculations, specialty line is more risky. 7. A) Positive and negative deviations do not cancel out.

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