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1. An insurer's portfolio consists of a single possible claim. You are given the following information. The claim amount is uniformly distributed over (100, 500). The probability that the claim occurs after time t is e-0.1t for t > 0. The claim time and amount are independent. The insurer's initial surplus is 20. Premium income is received continuously at the rate of 40 per year. Determine the probability of ruin.
2. (a) A random variable G takes the value 1 with probability 6/7 and -1 with probability 1/7. Show that the adjustment coefficient of G is log(6).
(b) A random variable G takes the value 1 with probability 1/2 and 2 with probability 1/2. Show that the adjustment coefficient is ∞.
At a selling price of $ 65 , a lamp company breaks even on total sales of $ 4550 . If the company's overhead is $ 420 , find the marginal production cost per lamp and find the profit on sales of 154 lamps.
Evaluate the length and width of the given rectangle using the area and the relation of length and width.
Assuming there is no cost, what is the expression for the cost of the finished stone and identify the different terms in it.
The Golding Discount Department Store: Excel Queuing System Problem, The Golding Discount Department Store has approximately 300 customers shopping in its store between 9am and 5pm on Saturdays. In deciding how many cash registers to keep open each..
The area of an isosceles right triangle is 121 feet squared. what is the approximate length of each of the two equal sides?
the ages of five randomly chosen professors are 62 59 51 60 and 41. calculate the sample variance of these ages. if the
How many of the residents of Springfield are likely to have the disease and how many of the people who actually have the disease get a positive test result?
We are interested in finding the monthly payment for a $175,500 mortgage at 7.5% for 30 years. We use the loan payment formula for installment loans.
What is the probability that a service call will take more than 2 hours?
What are some examples of radical expressions which are simplified? Please provide two examples showing the steps so I can understand.
a boat sails on a bearing of 70 degrees for 125 miles then turns and sails 206 miles on a bearing of 192 degrees. Find the distance from the starting point.
Draw a picture of every tree with 1, 2, 3, 4, 5, or 6 vertices. Just include one copy of each tree - that is to say you should eliminate any trees that are isomorphic to others on your list.
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