Does support for assisted suicide (“death with dignity”) vary by social class? Is this relationship dif-ferent in different nations? Small samples in three nations were asked whether it is ever justified for a per-son with an incurable disease to take his or her own life. Respondents answered in terms of a 10-point scale, on which 10 was “always justified” (the strongest support for “death with dignity”) and 1 was “never justified” (the lowest level of support). Results are reported here.
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Does support for assisted suicide (“death with dignity”) vary by social class? Is this relationship dif-ferent in different nations? Small samples in three nations were asked whether it is ever justified for a per-son with an incurable disease to take his or her own life. Respondents answered in terms of a 10-point scale, on which 10 was “always justified” (the strongest support for “death with dignity”) and 1 was “never justified” (the lowest level of support). Results are reported here.
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- 36. Over the last three years, a portfolio manager investing in large cap stocks had an average return of 25% when the small cap benchmark he selected returned 19.5%. Is the performance consistent with efficient market hypothesis? a. No, it is not. It is a violation of weak form EMH. b. No, it is not. It is a violation of semi-strong form EMH. c. No, it is not. It is a violation of strong form EMH. d. No, it is not. It is a violation of all forms of EMH. e. Yes, it could be. The manager selected an inappropriate benchmark.RBValence RapValence RBDance RapDance 0.397 0.24 0.311 0.337 0.383 0.205 0.32 0.401 0.264 0.26 0.383 0.437 0.46 0.338 0.395 0.465 0.449 0.54 0.401 0.468 0.436 0.0371 0.407 0.482 0.516 0.217 0.521 0.487 0.381 0.499 0.548 0.506 0.53 0.577 0.594 0.547 0.631 0.684 0.635 0.552 0.714 0.78 0.706 0.57 0.799 0.463 0.72 0.598 0.64 0.547 0.727 0.778 0.902 0.826 0.866 0.884 0.845 0.847 0.896 0.906Prove that a one-period binomial model is free of arbitrage if and only if d < r+1 < u u = S1(H)/S0 , d=S1(T)/S0
- Twins In 2009 a national vital statistics report indicatedthat about 3% of all births produced twins. Is the rateof twin births the same among very young mothers?Data from a large city hospital found that only 7 sets oftwins were born to 469 teenage girls. Test an appropriatehypothesis and state your conclusion. Be sure theappropriate assumptions and conditions are satisfiedbefore you proceed.Double Tower of Hanoi contains 2n disks of n different sizes, with two disks of each size. You must move all 2n disks from one of three locations to another, but you may move only one disk at a time, without putting a larger disk over a smaller one. Let T(n) be the number of moves necessary to move such a tower of 2n disks. Prove that T(n)=2n+1 −2foralln≥1.Cost of Natural Gas In April 2015, Nicor Gas had thefollowing rate schedule for natural gas usage in smallbusinesses.Monthly customer charge $72.60Distribution charge1st 150 therms $0.1201/thermNext 4850 therms $0.0549/thermOver 5000 therms $0.0482/thermGas supply charge $0.35/therm(a) What is the charge for using 1000 therms in a month?(b) What is the charge for using 6000 therms in a month?(c) Develop a function that models the monthly charge Cfor x therms of gas.(d) Graph the function found in part (c).
- Using Wilson's Theorm, Fermat's Little Theorm and The Pollard Factorization Metod how could I solve Quetion 2 in Section 6.1Double Tower of Hanoi: In this variation of the Tower of Hanoi there arethree poles in a row and 2n disks, two of each of n different sizes, where n is any positive integer. Initially one of the poles contains all the disks placed on top of each other in pairs of decreasing size. Disks are transferred one by one from one pole to another, but at no time may a larger disk be placed on top of a smaller disk. However, a disk may be placed on top of one of the same size. Let tn be the minimum number of moves needed to transfer a tower of 2n disks from one pole to another. (a) Find t1, t2, and t3.(b) Find a recurrence relation for t1, t2, t3, . . . .Digi-Key is a large distributor (but not manufacturer) of electronic components. They receive shipments of components from manufacturers and sell them on to other manufacturers, consumers, and hobbyists. An electrical fuse is generally a small device meant to protect other electrical components from damaging surges of electrical current. Suppose Digi-Key receives shipments of a particular fuse in boxes of 20,000 fuses. The manufacturer of this fuse claims that just 1 out of every 100 fuses is defective. Digi-Key draws 50 fuses randomly from each box and tests them using an error-free method. If it finds 2 or more defective fuses in its sample of 50 fuses, it sends that box back to the manufacturer and gets a replacement box. (Because there are 20,000 fuses in a box--much bigger than 50--you may treat this as if it is sampling with replacement even though it is not really.) Compute the probability that Digi-Key sends a box back to the manufacturer if the manufacturer's claim (that…
- A Ponzi scheme is a fraudulent investment operation in which returns to investors are paid from funds collected from new investors rather than from profit earned by the operator. The scheme takes its name from the notorious operation of Charles Ponzi in 1920. The case of Bernie Madoff is a more recent example.† Suppose the operator of a Ponzi scheme pays an initial return to investors of $23,000. Each month, he must recruit enough new investors to increase the return by 6%. a)Find a formula that gives the return R, in dollars, that the operator must pay after t months. b) How much must the operator pay to investors at the end of 3 years? (Round your answer to two decimal places.) c) Assume that new investors pay $2000 to join the scheme. How many new investors must be recruited at the end of 3 years in order to pay the existing investors? (Enter a whole number of new investors.)In the presence of enough food and lacking predators and competitors, a population of rabbitswill increase by a fixed percentage each spring. For this set of exercises, we will say that therabbit population increases by 10% each year. Thus, if the initial population is R0, then thepopulation the following spring will be R1 = (1.1)R0 rabbits. In two years, the population will beR2 = (1.1)R1 = (1.1)2R0. The number of rabbits after n years will beRn = (1.1)nR0,and clearly the rabbit population grows without bound. We will assume that the rabbit populationis measured in hundreds of rabbits (so that R = 1 represents 100 rabbits).Suppose now that we introduce a small number of cougars into the environment to keep the rabbitpopulation under control.Let’s suppose that the amount of rabbits eaten each year is proportional to the cougar population.Then the change in the rabbit population is governed by the equationRn+1 = (1.1)Rn − (0.1)Cn,where Rn and Cn represent the rabbit and cougar…A Ponzi scheme is a fraudulent investment operation in which returns to investors are paid from funds collected from new investors rather than from profit earned by the operator. The scheme takes its name from the notorious operation of Charles Ponzi in 1920. The case of Bernie Madoff is a more recent example.† Suppose the operator of a Ponzi scheme pays an initial return to investors of $21,000. Each month, he must recruit enough new investors to increase the return by 5%. (a) Find a formula that gives the return R, in dollars, that the operator must pay after t months. R(t) = How much must the operator pay to investors at the end of 3 years? (Round your answer to two decimal places.) $ Assume that new investors pay $2000 to join the scheme. How many new investors must be recruited at the end of 3 years in order to pay the existing investors? (Enter a whole number of new investors.) new investors