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Let R be a unique factorization domain then show that prime element R generates a prime ideal.
Statistics and Probability, Statistics
Thirty-eight percent of consumers prefer to purchase electronics online. You randomly select 16 consumers. Find the probability that the number who prefer to purchase electronics online is at most 5.
A particular manufacturing process is known to produce 0.3 proportion defective items. Suppose that a sample of 10 items produced by this process are selected at random. (a) The probability that the sample will contain e ...
In 1896, the first U.S. Open Golf Championship was held. The winner's prize money was $160. In 2012, the winner's check was $1,360,000. Requirement 1: What was the annual percentage increase in the winner's check over th ...
The random variable X takes on the values 5, 20, 30, and 200 with probabilites 0.60, 0.30, 0.08, and 0.02 respectively. Use the statistical capacity of your calculator to find the expected value of X rounded to one p ...
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. A random sample of 44 gas grills has a mean price of $6 ...
A study shows that 81% of the population of all calculus students consider calculus an exciting subject. Suppose 34 students are independently selected from the population. If the true percentage is really 81%, find the ...
If an Urn1 contains 6purle balls and 4red balls. And Urn2 contains 4purple balls and 6 red balls. Urn3 contains 4purple balls and 5red balls. If one of the urns is selected at random and a ball is drawn, what is the prob ...
Ten students were sampled at random from a student population. Each was asked how many courses he or she was planning on studying in the upcoming year. The following is a list of the reported data values: 1, 2, 2, 3, 4, ...
Donald is a college student who has $4125 in a savings that he earned from his summer job. He plans to leave the $4125 in a certificate of deposit(CD) with Goldman Sachs bank earning 2% for three years, but his banker ha ...
Jennifer currently has $500 in an account with an annual rate of return of 4.3%. She wants to have $6000 for a trip to Alaska when she graduates in 4 years. How much will she have to save each month to afford her trip?
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Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate
Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p
Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As
Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int
Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As