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On a single premium contract, the present value of the benefits takes the value 0 with probability 0.94, 1 with probability 0.01 and 3 with probability 0.05.
(a) Find the percentile premium for α = 0.95.
(b) Suppose the insurer plans to sell 2 contracts. Find the smallest possible premium for each, such that there is a probability of at least 0.95 that the total premiums will cover the total benefits on both contracts.
Write a computer program to simulate the queue in Exercise 20. Have your program keep track of the proportion of the time that the queue length is j for j = 0, 1, . . . , n and the average queue length. Show that the behavior of the queue length i..
John suspects that a pair of dice is loaded (unfair). To test his hypothesis he rolls the dice 72 times. A total of seven comes up fifteen times
Let X equal the number of people selected at random that you must ask in order to find someone with the same birthday as yours. Give the values of the mean, variance, and standard deviation of X?
Normally distributed with mean equal to 15,000 and standard deviation equal to 1000. What is the lowest income among the richest 250 persons?
imagine you are a manager at a major bottling company. customers have begun to complain that the bottles of the brand
Numbers of people who live in the north, both aboriginal and non-aboriginal. See an inconsistency here within the law. Their use of them - then why would we allow this?
part 1shown below are the sales revenue and advertising cost data for seven companies published by international
Suppose a researcher has trained observers to rank participants according to their level of frustration when trying to solve a puzzle.
How many students should be surveyed to estimate the mean score within 25 points with 90% confidence?
Assuming that the population does meet the 0.06 standard, what is the probability of getting a sample of 300 with 27 or more dark ends? Comment on this result.
The following data represent 25 successive subgroup averages and moving averages of span size 5 of these subgroup averages. The data are generated by a process that, when in control, produces normally distributed items having mean 30 and vari..
The goal of a study by Klinger et al. was to determine how symptom recognition and perception influence clinical presentation as a function of race. They characterized symptoms and care-seeking behavior in African-American patients with chest pain..
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