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1. Suppose that the severity distribution changes from X to (1 + r)X due to inflation.
(a) Show that if the deductible d is increased to (1 + r)d, the LER is unchanged. What happens to the LER if d is unchanged?
(b) Suppose that X is exponentially distributed and for a certain value of d the LER is 0.3. If r = 0.10 and d is unchanged, what is the new LER?
2. Suppose that N is a continuous mixture of Poisson(λ) distributions, where λ ∼γ (2, 1) and X takes the value 1 with probability 0.6 and 2 with probability 0.4. If fS(10) = c and fS(11) = d, find a formula for fS(12) in terms of c and d.
A projectile is launched from the ground. The height h in feet of the projectile , t seconds ater being launched, is given by the formula . After the projectile is launched, in how many seconds will it hit the ground?
Find the dool little LU decomposition ofthe matrix without doing any row interchanges. Use your LU decomposition to calculate the determinant of A and the third columnof A-1.
A certain wheel has a diameter of 98 inches. If that wheel travels for 108 revolutions, then. How many years has it gone? (use 22/7 for pi)
The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. If an object is propelled upward from ground level with an initial velocity of 92.5 feet per second, its height h in feet t seconds later
show that the marginal distribution of Y1 is normal with mean u1 and variance (o1)^2
checkmarts records show that 58 of their customers pay only the minimum amount on their credit card each month.a. what
Estimate the error in evaluating ln(3/2) by using only the first five nonzero terms of the series in part a). Justify your answer.
you are designing a basketball court to put in your backyard and you are given 975 feet of fencing. What are the detentions that would maximize the area of the court?
Find the multiple linear regression.
What is the mass of the water in a hemispherical tank with a radius of 5 meters? Illustrate your calculations with a plot of the tank. (Hint: assume hemisphere is lower hemisphere of sphere of radius 5 centered at the origin in spherical coordinat..
What is the total weight of two boxes us 147 pounds. The first box weighs 52 pounds. Use compatible numbers to estimate the weight of the second box.
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