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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?
You purchase shares of a technology company and hold them for one yer. During that time the price pershare ranges from $64 to $143. Write an absolute value inequaity to represent the stock prices for that years.
find the slope of the tangent line to the give polar curve at the point specified by the value of theta
a right triangle with vertices 51 14 and 11 is located in the first quadrant of the cartesian plane. find the equation
a banker invested a portion of $10,000 at 5% interest per year and the remainder at 4% interest per year. if the baker received $470 in interest after 1 year, how much was invested at each rate?
Model each rule with a table of values and a graph.
A clock company is concerned about errors in assembly of their custom made clocks. A random sample of 120 clocks from today's production yields nine clocks with assembly errors.
If the solution entering the tank is 20% nitric acid, determine the volume of nitric acid in the tank after t minutes.
A company's projected worth (in millions of dollars) is modeled by the equation y=231(1.04)^x. The variable x represents the number of years since 1997. What is the projected annual percent of growth, and what should the company be worth in 2007?
The distance around a tennis court is 336 feet. If the length of the court is 3 feet more than twice the width, find the dimensions.
one car travels 40 km/hr faster than another, while one travels 150km, the ither goes 350km, what is the speed of the slower car?
The pillars of the World II memorial in Washington D.C; are 17 feet tall. A scale model of the memorial has pillars that are 5 inches tall. What is the scale of the model?
Prove the following by contradiction and induction
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