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1. A continuous failure time has a density function, fT (t) = β2te-βt (a gamma distribution with first parameter 2). The force of interest is a constant δ. Find expressions in terms of β and δ for: (a) AT‾ ; (b) aT‾ ; (c) the net annual rate of premium payment when premiums are payable continuously prior to failure, for an insurance paying 1 at failure and (d) the reserve at time k for the contract in (c).
2. An insurance contract, based on the failure time T, pays 1 unit at the moment of failure provided this occurs within 5 years. Nothing is paid for failure after that time. The force of interest is a constant 0.1. If T has the hazard functionμT (t) =2/10 - t,
Find the probability that the present value of the benefits is strictly positive, but less than or equal to e-0.3.
for each of the following distributions find the minimum usual value ? - 2? and the maximum usual value ? 2?.a.
Let {X(n), n ≥ 0} be the usual Galton-Watson process, starting with X(0) = 1. Suppose, in addition, that immigration is allowed in the sense that in addition to the children born in generation n there are Zn indi- viduals immigrating, where {Zn, n ≥ ..
Describe the error in the conclusion. Given: There is a linear correlation between the number of cigarettes smoked and the pulse rate. As the number of cigarettes increases the pulse rate increases. Conclusion: Cigarettes cause the pulse rate to i..
the slider p moves inward by pulling a string is not shown. the arm angular position is given in radians by theta
Develop and solve a linear optimization model to determine the optimal mix to maximize profit, and write a short memo to the president, Kathy Chung, explaining the sensitivity information in language that she can understand.
A further analysis of differences between every pair of groups was reported as all p 0.01.9 Interpret these reported ?ndings. What were the degrees of freedom for Factor, Error, and Total?
Test the hypothesis, at the 0.05 level of significance, that the size of a family is independent of the level of education attained by the father.
real estate apperaiser may use simple or stratifief sampling technigue to drawn random samplegenrate a random sample
a survey is taken in which 40 randomly selected respondents aged 25-40 are asked how many biological children they
the computer-science aptitude scorenbspx and the achievement scorenbspynbspmeasured by a comprehensive final were
Subcontracting can handle a maximum of 10 units per month. Beginning inventory is zero. Develop a plan that minimizes total cost. No back orders are allowed.
q1. calculate a regression that examines whether or not you can predict if a student wants a lecturer to be extroverted
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