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An annuity on (50) provides for yearly payments for 30 years. The amount of the income is 10 000 for the first 10 years, 8000 for the next 10 years and 5000 for the last 10 years. The net single premium for this annuity is 100 000. You are given that the interest rate is a constant 5% and that 10p50 = 0.9, 20p50 = 0.8, 30p50 = 0.7. Find the premium if the same income is to be paid monthly instead of annually, assuming payments are made (a) at the beginning of each month, (b) at the end of each month.
Let Sn denote the total of the outcomes through the nth toss. Show that there is a limiting value for the proportion of the first n values of Sn that are divisible by 7, and compute the value for this limit. Hint : The desired limit is an equilibrium..
Standard deviation of 11.6 hours. what is the 99% confidence level for the mean number of hours that the population of high school students spent working each week?
Prepare a power curve for this decision rule
consider two components whose lifetimes x and y are independent and exponentially distributed with parameters lambdax
A recent article in Vitality magazine reported that the mean amount of leisure time per week for American men is 40.0 hours. You believe this figure is too large and decide to conduct your own test.
Can you describe a data set for which one would one would prefer to use the median rather than the mean and can you think of a situation for which the mean would be preferred to the median and the mode?
A humane society reports that 19% of all pet dogs were adopted from an animal shelter. Assuming the truth of this assertion, find the probability that in a random sample of 80 pet dogs, between 15% and 20% were adopted from a shelter
chemical company claims the one majory product has on average 4.0 fluid oz of caustic materials per gallon.it further
late payment of medical claims can add to the cost of health care. an article reported that the mean time from the date
a genetic experiment involving peas yielded one sample of offspring consisting of 414 green peas and 153 yellow peas.
Spoke Weaving Corporation has eight weaving machines of the same kind and of the same age. The probability is .04 that any weaving machine will break down at any time. Find the probability that at any given time
Compute the mean, median, mode and standard deviation for the following discrete probability distribution.
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