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A life is subject to a constant force of mortality of 0.15. The force of interest is a constant 0.10. An insurance contract on this life provides for a death benefit of e.05t for death at time t, with level premiums payable continuously for life.
(a) Find tV.
(b) Write down Thiele's differential equation for the reserve, and verify that your answer to (a) satisfies this equation.
Assuming that the odds ratios for the three weight groups are equal (in other words, weight is not an e¤ect modifier), calculate the Mantel-Haenszel estimate of this common odds ratio.
Let mutually independent random variables X1, X2 and X3 be N(0,1), N(2,4) and N(-1,1) respectively. Compute the probability that exactly two of these three variables are less than zero.
computing the expected values for the given probability distribution.find the expected values of the following
The manager of a car wash receives pricing schedule (shown below) from the vendor who supplies soap- and a promise of a 25% shorter lead time for deliveries.
For which of given variables must a "two tail" t-test be applied?
suppose the scores for a particular test are normally distributed with mean 76 and standard deviation 6. the
Find the linear correlation coefficient for the systolic and diastolic measurements - determine the linear regression equation that uses the systolic pressure to predict the diastolic pressure.
let x and y be independent geometric distributions. u minxy v x - y a show that u and v are independent b find the
a batch of 40 semiconductor chips is inspected by choosing a sample of 5 chips. assume 10 of the chips do not conform
An office building in New York uses thousands of fluorescent light bulb each year. The brand of bulb it currently uses has a mean life of 900 hours
Random sample of five North American adult is more than 7 hours a day? What is the probability that in random sample of 5 north American adults, all watch television more than 7 hours a day?
1.a manufacturer receives parts from two suppliers. an srs of 400 parts from supplier 1 finds 20 defective. an srs of
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