Question

Assume that a driver faces the following loss distribution: Loss 10,000 0 Probability .04 .96 2....

Assume that a driver faces the following loss distribution:

Loss 10,000 0

Probability .04 .96

2. What is the expected loss?

3. What is the standard deviation of loss?

Now assume that this driver pools her losses with another driver facing the same loss distribution, and that the losses are not correlated.

4. What is the expected loss for each member of the pool?
5. What is the standard deviation of loss for each member of the pool?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two friends, Rosa and Jef, have the same loss distribution: Loss = $0 with probability .75...
Two friends, Rosa and Jef, have the same loss distribution: Loss = $0 with probability .75 Loss = $10 with probability .25 Find the expected loss and standard deviation for the distribution. (2 points) Now, Rosa and Jef agree to pool losses. This means that if there is a loss to either one of them then they will split all losses in the pool equally. Show the new probability distribution. What has happened to the extreme outcomes? (1 point) Find...
Terry is a small business entrepreneur and owns 6 buildings for business use. The probability distribution...
Terry is a small business entrepreneur and owns 6 buildings for business use. The probability distribution below describes expected property losses for the group of 6 buildings. Assume that the property exposures are independent of each other. Losses $                                                          Probability of Loss $10,000                                                           0.20 $20,000                                                           0.10 $50,000                                                           0.06 $100,000                                                         0.03 $500,000                                                         0.01 a. Find the average or expected loss of the group of buildings in a given year. 15,0000 b. Calculate the standard deviation of the distribution. 87,208.50 c....
The probabilities of the following three possibilities to a house is given below: Event Loss Probability...
The probabilities of the following three possibilities to a house is given below: Event Loss Probability No Loss 0 90% Small Loss 5,000 8% Large Loss 50,000 2% a. Calculate the expected value and standard deviation if the owner does not have any pooling b. Illustrate the expected value/standard deviation if two owners of similar properties pool their losses c. What is the expected value and standard deviation if 1,000 owners decided to pool their losses
Q1: Suppose Joe and Leo both face the following individual loss distribution: Probability of Loss Amount...
Q1: Suppose Joe and Leo both face the following individual loss distribution: Probability of Loss Amount of Loss 0.6 $0 0.3 $40 0.1 $80 A. Please calculate the expected loss and standard deviation of the expected loss faced by either Joe or Leo on an individual basis. B. Suppose that Joe and Leo enter into a pooling-of-losses arrangement. Just state what will happen to the expected loss and variability of the expected loss as a result of the pooling arrangement...
Assume that the following table is the probability distribution of X: X 0 1 2 3...
Assume that the following table is the probability distribution of X: X 0 1 2 3    P(X) 0.10 0.30 0.40 0.20 What are the “expected value” and “standard deviation” of X? Show your work.
Calculate the mean and the standard deviation of this probability distribution. X (Loss) P(X) $0 0.88...
Calculate the mean and the standard deviation of this probability distribution. X (Loss) P(X) $0 0.88 $100 0.05 $500 0.03 $1,000 0.02 $5,000 0.01 $10,000 0.007 $20,000 0.003
1. Jerome is considering investing $10,000 in a security that has the following distribution of possible...
1. Jerome is considering investing $10,000 in a security that has the following distribution of possible one-year returns: Probability of Occurrence 0.10 0.20 0.30 0.30 0.10 Possible Return -10% 0% 10% 20% 30% a) What is the expected return in % associated with the investment? b) Calculate the expected return in DOLLAR AMOUNT for the investment. c) What is the standard deviation associated with the investment?
Consider the following probability distribution: xi= 0, 1, 2, 3 P(X=xi)= 0.1, 0.1, 0.1, 0.7 The...
Consider the following probability distribution: xi= 0, 1, 2, 3 P(X=xi)= 0.1, 0.1, 0.1, 0.7 The expected value and standard deviation is?
Assume for a moment that we have a population distribution that is negatively skewed. Which probability...
Assume for a moment that we have a population distribution that is negatively skewed. Which probability distribution becomes normal as the size of the sample increases? population distribution sample distribution sampling distribution None of the above The standard error of the mean refers to the standard deviation of the... normal distribution population sample sampling distribution None of the above Which type of error can be quantitatively measured: sampling error non-sampling error both neither The purpose of statistical inference is to...
Motorola used the normal distribution to determine the probability of defects and the number of defects...
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces. The process standard deviation is 0.1, and the process control is set at plus or minus 2 standard deviations. Units with weights less than 9.8 or greater than 10.2 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT