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1. For a certain collection of contracts, N ∼ Poisson(4), while X ∼ Exp(3). Suppose that each individual claim is subject to a deductible of 2. If S′ is the total amount actually paid on all claims, find the variance of S′.
2. For a certain firm, the number of losses of a certain type has a Poisson(2) distribution. The amount of a loss takes a value of 100, 200 or 300, with probabilities 0.5, 0.3, 0.2, respectively. The firm purchases an insurance policy that will cover all losses above an aggregate deductible of 200. (So, for example, if there was one loss of 100 and three losses of 300, the insurer would pay 800.) What is the expected reimbursement by the insurer?
solve the following system of linear equations by using gauss seidal method starting from x1 x2 x3 1 0 1. perform six
How many ways are there to pick a collection of 13 coins from piles of pennies, nickels, dimes, quarters, and half-dollars? Base on the following condition: a) Assuming that each pile has at least 13 or more coins. b) Assuming that each pile has at l..
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.
Use mathematical induction to prove that 2-2*7+2*7^2-.....+2(-7)^n=(1-(-7)^n+1)/4 whenever n is a nonnegative integer. Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer.
A group of investors obtained a loan of $200,000 to buy a small business. The monthly mortgage payment was based on 25 years at 8%. Find the monthly mortgage payment. Use the Monthly Payment Table. Round to the nearest cent.
24. An old urn is discovered that looks like a cylinder except that the side is wavy. The urn is 6 inches high. Scientists want to estimate the volume of the urn so they measure its circumference at intervals of 2 inches, and produce the follow..
A body of mass 6 kg moves in a (counterclockwise) circular path of radius 7 meters, making one revolution every 8 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
The total amount of oil spilled in the 1990s was 1/3 the amount spilled in the 1970s and 30 thousand tons less than the oil spills of the 1980s. Using one variable, write an expression that represents the oil spills for each decade.
determine accumulated rates of change using definite integral.give another example with solutions to emphasize that the
An ad for a computer printer stated that you could buy the printer for only $280.00, or 80 % of the original price . What was the original price of the printer?
What happens when smog lifts in Los Angeles, California? I know the answer, but I don't know what it looks like on my paper
If your first job pays $40K/year, what will be your annual salary after 30 years and how much will you make in total over 30 years?
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