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1. For an employee hired at age 35 at a salary of 50 000, it is estimated that an amount of 500 000 is needed at at the normal retirement age of 65 to buy an appropriate pension. For exit from the plan before age 65 the accumulated amount of contributions with interest is returned to the employee. Find a formula to calculate the contribution rate c, assumed to be made at the beginning of each year.
2. Suppose that in the situation described above, the contributions are split, with the employee paying 40% and the employer the remaining 60%. For participants exiting the plan after 5 years, the total of all contributions with interest is returned at the end of the year of leaving. For those exiting in the first 5 years only the employee's own contributions with interest are returned. Find an equation to determine the contribution rate c.
Calculate a 92% confidence interval for the mean density of quartz porphyry, given that 75 samples yield mean of 2.62 grams per cubic centimeter
if a random variable can take on a measurable infinite number of values such as a persons weight height or temperature
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Students at a private liberal arts college are classified as being freshmen, sophomores, juniors, or seniors, and also according to whether they are male or female. Find the total number of possible classifications for the students of that colleg..
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Two servers with lambda 1 & lambda 2 service times exponentially distributed. Pat waits in a line to get served by any of the two servers. What is the waiting time of pat if no one is on the line?
find the minimum sample size when we want to construct a 95 confidence interval on the population proportion for the
Five persons donate blood at the clinic on a particular day. Find the probability that at least one of the five does not have Rh+ blood.
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Before giving the denition of the binomial probability distribution, try to derive it by using the sample-point approach. How?
Find the critical value for zα/2 that corresponds to a degree of confidence of 98%. Find the margin of error for the 95% confidence interval used to estimate the population proportion with n = 163 and x = 96
an electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with
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