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A local bank wants to install motion detector burglar alarms. Each has a 70% chance of detecting a burglar. If the bank wants to be 99% certain of detecting a burglar how many need to be installed?
Statistics and Probability, Statistics
1.) You consider buying both Stock A and Stock B to make a portfolio to reduce some unsystematic risk. Both stocks will be weighted equally in the portfolio. Stock A has an expected return of 11% and a standard deviation ...
Breeding records reveal that 1 out of every 8 puppies of a certain Welsh Corgi female are runts. Since these puppies can't be sold for full price, we wish to examine the frequency with which this condition is likely to o ...
Plastic sheets made by a machine are periodically monitored for fluctuations in thickness. If the true standard deviation in thickness exceeds 2.0 millimeters, there is cause for concern about product quality. Past exper ...
The commissioner of the state police is reported as saying that about 10% of reported auto thefts involve owners whose cars haven't really been stolen. What null and alternative hypotheses would be appropriate in evaluat ...
We choose a number from the set {1, 2, ..., 100} uniformly at random and denote this number by X . For each of the following choices, determine whether the events in question are independent or not. A = {X is even}, B = ...
The National safety council reported that 52% of American turnpike drivers are men. A sample of 300 cars traveling southbound on the New Jersey Turnpike yesterday revealed that 170 were driven by men. At a 99% level of c ...
Recent test scores on the Law School Admission Test (LSAT) are normally distributed with a mean of 162.4 and a standard deviation of 15.9. What is the probability that the mean of 12 randomly selected scores is less than ...
Are the outcomes of hospital care different on weekends than weekdays? In a random sample of 500 patients who experienced severe medical complications after admission to acute care wards in three U.S. states from 1999 an ...
A factory makes parts for laptop computers, including screws. The screws are required to have the right length. The lengths of the screws obey a normal distribution with mean μ=4.25 millimeters and standard deviation σ=0 ...
While preparing for their comeback tour, the flaming Roger's find that the average time it takes their sound tech to set up for a show is 61 minutes, with a standard deviation of 4.1 minutes. If the band manager decides ...
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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