Question

Please don't copy paste. answer what goes in each columns Bespin Car Rental predicts that the...

Please don't copy paste. answer what goes in each columns

Bespin Car Rental predicts that the annual probability of one of its cars being destroyed in a crash is 1 in 1,000,000. If destroyed, the value of the property damage to the car equals $45,000. Assume that there are no partial losses; the car is either destroyed in a crash or suffers no loss.

  1. A) Show the physical damage loss distribution for Bespin Car Rental’s automobiles and calculate the expected value of the physical damage loss.
  2. B) Show the calculations for the variance and the standard deviation.

Column 1

Column 2

Column 3

Column 4

Column 5

Loss outcomes

Probabilities

Loss Outcome - Expected Loss

Squared Difference

Squared Difference x Probability

Sum

Variance

Standard Deviation

Column 1

Column 2

Column 3

Column 4

Column 5

Loss outcomes

Probabilities

Loss Outcome - Expected Loss

Squared Difference

Squared Difference x Probability

Sum

Variance

Standard Deviation

Homework Answers

Answer #1
P(Loss) = 1/1000000 = 0.000001
P(No loss) = 1 - 0.000001 = 0.999999
Expected value of the loss = $45000 * 0.000001 + $0 * 0.999999 = $0.045
Loss outcomes Probabilities Loss outcome - Expected loss Squared difference Squared difference * Probability
45000 0.000001 $ 44,999.96 $2,024,995,950.00 $2,025.00
0 0.999999 -$0.05 $0.00 $0.0020
Sums = $ 2,024,995,950.00 $2,025.00
Variance = $2,025.00
Standard deviation = √variance = $45
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