5 problems in mathematical statistics

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Uploaded: 08.07.2013
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Task 1.
Find some amounts in the past and in the future, the equivalent amount of 1000 rubles. at 0 as the rate of 8% per annum.

Task 2.
Every six months, the bank account of the writer's publishing lists 2,000 rubles., For which the Bank charges 7% every six months on the scheme of compound interest. How much will the account after 4 years?

Task 3.
Check the plan of repayment of principal equal annual expense, calculated using a computer:
Interest annual rate of 8% The value of the loan 600
payments 168.0 158.4 148.8 139.2 129.6
During the 1 2 3 4 5

Task 4.
Assume an investment project "cyclical." Factory work cycles: one year out of ten it is of major repairs and upgrading, which requires $ 30,000 in the remaining nine years of the cycle factory generates income of $ 10,000 a year. Find the characteristics of the flow of payments. (Specify that the costs attributed to the end of the first year of the cycle, the income goes to the end of each year of the cycle, starting from the second year).

Task 5.
Statistics requests bank loans is as follows: 17% - state agencies, 40% - other banks and others - individuals. The probabilities of default are taking out a loan, respectively: 0.01; 0.06 and 0.3. Find the probability of default of the next request for a loan.
What is the probability that the loan does not return any bank?

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