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For a 3-year term insurance policy on (x), level premiums are payable for 3 years. The following data are given.
k
qx+k
ik
bk
0
0.10
0.20
50 000
1
0.15
0.25
20 000
2
0.30
15 000
(a) Find the vector yx.
(b) Find the net cash flow vector.
(c) Using your answers to (a) and (b), compute 1V and 2V.
(d) Explain briefly why your answers to (c) are negative.
2. What is the Free-Flow-Speed (FFS) for the following conditions (i) a lane width of 12 ft, right shoulder lateral clearance of 1ft(2 lanes), and total ramp density of 2 (TRD=2 ramps/mi). (ii) a lane width of 10 ft, right shoulder lateral clearan..
Random variable and a probability distribution, Discuss the concepts of random variable and a probability distribution. A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude..
Consumption of large amounts of alcohol is known to increase reaction time. Assume we want to use a 0.01 significance level to test the claim. (a) Identify the null hypothesis and the alternative hypothesis
Calculate the missing R-square statistic.
A spherical balloon is inflated with gas at the rate of 32 cubic feet per minute. How fast is the radius of the balloon increasing at the instant the radius is 2 feet?
Sunshine Stereo sells cd players. The cd players life is normally distributed with a mean of 2.3 years and a standard deviation of 0.4 years. What is the probability that a cd player will break down during the guarantee period of 2 years?
Let r = 1 - 2sinθ. Convert the polar equation to a rectangular equation. Then sketch a graph of the polar equation on the graph provided. Show all necessary work
A semicircle with radius 6 m is submerged vertically in water so that the top is 3 m above the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole numb..
Four number are drawn at random from a box of ten numbers 0, 1,....,9. Find the probability that the largest number drawn is a six.
The half-life of a certain radioactive material is 75 days. An initial amount of the material has a mass of 381 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 15 days. Rou..
The function can be used to approximate the number of computer sales during the years 1990-2000 where x is the number of years after 1990 and f(x) is the computer sales (in millions).
Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Seven hours later they are 350 miles apart. If the Ship X had traveled 280 miles from the port, how many miles had Ship Y traveled?
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