Topic: Mathematical Modeling Answer letter B, and provide explanations for necessary steps. The following table shows the number of investors in a Ponzi scheme over a period ofsix months.MonthNumber of InvestorsMarch25April78May242June713July2156August6543b. Find a function that models the data.

The given table shows the number of investors in a ponzi scheme over a period of six months March,…

Answered: Topic: Mathematical Modeling Answer…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A group of medical professionals is considering theconstruction of a private clinic. If the medical de-mand is high (i.e., there is a favorable market for theclinic), the physicians could realize a net profit of$100,000. If the market is not favorable, they couldlose $40,000. Of course, they don’t have to proceedat all, in which case there is no cost. In the absenceof any market data, the best the physicians can guessis that there is a 50–50 chance the clinic will be suc-cessful. Construct a decision tree to help analyze thisproblem. What should the medical professionals do?
The lowest portfolio risk will result when the asset returns are perfectly positively correlated. Select one: True False
Southwestern Electronics has developed a new calculator that performs a series of functionsnot yet performed by any other calculator. The marketing department is planning todemonstrate this calculator to a group of potential customers, but it is worried about someinitial problems, which have resulted in 4 percent of the new calculators developingmathematical inconsistencies. The marketing VP is planning on randomly selecting a groupof calculators for this demonstration and is worried about the chances of selecting acalculator that could start malfunctioning. He believes that whether or not a calculatormalfunctions is a Bernoulli process, and he is convinced that the probability of a malfunctionis really about 0.04. Assuming that the VP selects exactly 50 calculators to use in thedemonstration, and using the Poisson distribution as an approximation of the binomial whatis the chance of getting at least two calculators malfunctioning?
The National Highway Association is studying the relationship between thenumberof bidders on a highway project and the winning (lowest) bid for the project. Ofparticular interest is whether the number of bidders increases or decreases the amountof the winning bid.
If the price of a piece of tuperware having capacity X is given by 60X-545, what is the expected price paid by the next customer to buy a piece of tuperware?
According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 6 comma 0006,000 roaches (the expected number in a roach-infested house) were released in the test kitchen. One week later, the kitchen was fumigated and 18 comma 10718,107 dead roaches were counted, a gain of 12 comma 10712,107 roaches for the 1-week period. Assume that none of the original roaches died during the 1-week period and that the standard deviation of x, the number of roaches produced per roach in a 1-week period, is 1.61.6. Use the number of roaches produced by the sample of 6 comma 0006,000 roaches to find a 9595% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house. Find a 95% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.
Suppose that the link speed is 8 Mbps, the demand bandwidth of each active user is 1000Kbps. The active probability of each user is 10%. How much user can support under the block probability is less than 0.008?
A iPhone store starts by selling 100 iPhone pre-ordered in week zero and expects to sell an average of 15%more each week after that. How many iPhone is the store expected to sell in week 4?
Suppose the customers arrive at a Poisson rate of on eper every 12 minutes, and that the service time is exponential at a rate of one service per 8 minutes. What are the average number of customers in the system(L) and the average time a customer spends in the system(W)?
Suppose that you would like to create composite indexes from three stocks: stk1, stk2, stk3. Their stock prices (Pt) and total shares outstanding (Qt) from day 0 to day 1 are shown as follows: stk3 splits two-for-one in day 1. P0 Q0 P1 Q1 stk1 40 250 50 250 stk2 50 100 50 100 stk3 60 150 50 300 Which answer is the closest value to the rate of return on a price-weighted index of the three stocks? A. 20% B. 25% C. 30% D. 35%
The management at Massachusetts Savings Bank is always concerned about the quality ofservice provided to its customers. With the old computer system, a teller at this bank could serve,on average, 22 customers per hour. The management noticed that with this service rate, thewaiting time for customers was too long. Recently the management of the bank installed a newcomputer system, expecting that it would increase the service rate and consequently make thecustomers happier by reducing the waiting time. To check if the new computer system is moreefficient than the old system, the management of the bank took a random sample of 70 hours andfound that during these hours the mean number of customers served by tellers was 27 per hourwith a standard deviation of 2.5. Testing at the 1% significance level, would you conclude thatthe new computer system is more efficient than the old computer system?
Data on the 4000 largest mutual funds shows which funds provided a high 5-year return and a high 10-year return. Of the 4000 mutualfunds surveyed, 3000 funds had a high 5-year return, 2000 had a high 10-yearreturn, and 1500 had both a high 5-year return and a high 10-year return Given that a mutual fund had a high 5-year return, what is theprobability of a mutual fund having a high 10-year return?

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