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Show that the negative-feedback system shown in Fig. 2.5(b) is BIBO stable if and only if the gain a has a magnitude less than 1. For a = 1, find a bounded input r(t) that will excite an unbounded output.
Statistics and Probability, Statistics
In an effort to check the quality of their cell? phones, a manufacturing manager decides to take a random sample of 10 cell phones from? yesterday's production? run, which produced cell phones with serial numbers ranging ...
The standard deviation of the market-index portfolio is 45%. Stock A has a beta of 1.20 and a residual standard deviation of 55%. a-1. Calculate the total variance of stock A if its beta is increased by 0.20? (Do not ro ...
1) Suppose you purchase a 30?-year, ?zero-coupon bond with a yield to maturity of 6.5 % You hold the bond for five years before selling it. i. If the? bond's yield to maturity is 6.5 % when you sell? it, what is the ann ...
What is the maximum dollar amount that you would be willing to pay for an investment that pays $10,000 every second year forever if the 1st payment occurs four years from today (the 2nd payment will occur in six years et ...
A population has a mean mu equals84 and a standard deviation sigma equals6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=36.
Let N ( m , v ) denote the normal random variable with mean m and variance v . (a) If X is a Standard Normal variable, what is the distribution of the random variable 4 X - 1? (b) If X ~ N (3,1) and Y ~ ...
The average price of a television on a certain Web site is ?$760. Assume the price of these televisions follows the normal distribution with a standard deviation of ?$190. Complete parts a through d below. What is the pr ...
1. What is the YTM for a 14-year semi-annual bond that pays $35 every six months and has a purchase price of $980.000? Face value is $1,000. 2. A person wants to put aside $500 at the beginning of each month for 10 years ...
According to a Pew Research Center poll, 22% of adult Americans have contributed to an online fundraising project. A random sample of 100 adults is selected. Let the random variable X be the number of adult Americans who ...
A clothing quality director determines the accuracy of NFL Logos on t-shirts. 9% of the shirts made that day are defective. The shirts are sold in packages of 10. Find the probability that in one randomly selected packag ...
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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
