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Suppose probability samples of size n=2 are selected from {1, 2, 3, 4} with probabilities d1=.4, d2=.4, d3=.1, and d4=.1. Demonstrate that tau_hat is still an unbiased estimator of the population total, but its variance is 81.25.
Statistics and Probability, Statistics
Data collected over a long period of time showed that a particular genetic defect occurs in 1 of every 1000 children. Let X be the random variable "number of children with genetic defect in a sample of 50,000 children ex ...
Suppose a life insurance company sells a $230,000 ?one-year term life insurance policy to a 20?-year-old female for ?$330. The probability that the female survives the year is 0.999642. Compute and interpret the expected ...
Question: A number of public policies related to alcohol consumption have been instituted over the past couple of decades in an attempt to limit the number of alcohol-related traffic fatalities. These policies include: • ...
Assuming that the bank wants Assets with High Yields and Liabilities with Low Costs then what decisions would the bank make for the Interest Rates on both Loans (Fixed Rate Corporate, Floating Rate Corporate, Installment ...
A machine has four? components, A? B, C, and? D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of ...
Calculate the value of a bond with face value of $1,000 , a coupon interest rate of 8 percent paid semiannually; and a maturity of 10 years. Assume the following discount rates: (a) 6 percent; (b) 8 percent; and (c) 10 p ...
Suppose that 20% of men (P=.20) and 15% of women (P= .15) are carriers of a particular genetic trait. That trait can only be inherited by a child if both parents are carriers. What is the probability that a child is born ...
An appliance dealer calculated the proportion of new dishwashers sold that required various numbers of service calls to correct problems during the warranty period. The records were: No. of service calls Relative frequ ...
Arvo Corporation is trying to choose between three alternative investments. The three securities that the company is considering are as follows: Tax-free municipal bonds with a return of 8.8%. Wooli Corporation bonds wit ...
Calculation of individual costs and WACC Lang Enterprises is interested in measur-ing its overall cost of capital. Current investigation has gathered the following data. The firm is in the 21% tax bracket. Debt The firm ...
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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