Modern Business Statistics with Microsoft Excel (MindTap Course List)
5th Edition
ISBN: 9781285433301
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning
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Chapter 7.6, Problem 28E
A population proportion is .40. A
- a. What is the
probability that the sample proportion will be within ±.03 of the population proportion? - b. What is the probability that the sample proportion will be within ±.05 of the population proportion?
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T1.4: Let ẞ(G) be the minimum size of a vertex cover, a(G) be the maximum size of an
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neighborhood of a vertex in a triangle free graph must be independent; all edges have at least
one end in a vertex cover.
(ii) Show that all graphs of order n ≥ 3 and size m> [n2/4] contain a triangle. Hints - you
may need to use either elementary calculus or the arithmetic-geometric mean inequality.
We consider the one-period model studied in class as an example. Namely, we assumethat the current stock price is S0 = 10. At time T, the stock has either moved up toSt = 12 (with probability p = 0.6) or down towards St = 8 (with probability 1−p = 0.4).We consider a call option on this stock with maturity T and strike price K = 10. Theinterest rate on the money market is zero.As in class, we assume that you, as a customer, are willing to buy the call option on100 shares of stock for $120. The investor, who sold you the option, can adopt one of thefollowing strategies: Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380. Strategy 2: Buy 55 shares of stock and borrow $430. Strategy 3: Buy 60 shares of stock and borrow $480. Strategy 4: Buy 40 shares of stock and borrow $280.(a) For each of strategies 2-4, describe the value of the investor’s portfolio at time 0,and at time T for each possible movement of the stock.(b) For each of strategies 2-4, does the investor have…
Negate the following compound statement using De Morgans's laws.
Chapter 7 Solutions
Modern Business Statistics with Microsoft Excel (MindTap Course List)
Ch. 7.2 - Consider a finite population with five elements...Ch. 7.2 - Assume a finite population has 10 elements. Number...Ch. 7.2 - The 2012 American League consists of 14 baseball...Ch. 7.2 - The U.S. Golf Association has instituted a ban on...Ch. 7.2 - In this section we used a two-step procedure to...Ch. 7.2 - 10. Indicate which of the following situations...Ch. 7.3 - 11. The following data are from a simple random...Ch. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - 14. Morningstar publishes ratings data on 1208...
Ch. 7.3 - 15. The National Football League (NFL) polls fans...Ch. 7.3 - Prob. 12ECh. 7.3 - 17. One of the questions in the Pew Internet &...Ch. 7.3 - In this section we showed how a simple random...Ch. 7.5 - 19. A population has a mean of 200 and a standard...Ch. 7.5 - Prob. 16ECh. 7.5 - 21. Suppose a random sample of size 50 is selected...Ch. 7.5 - Refer to the EAI sampling problem. Suppose a...Ch. 7.5 - In the EAI sampling problem (see Figure 7.8), we...Ch. 7.5 - 24. Barron’s reported that the average number of...Ch. 7.5 - Prob. 21ECh. 7.5 - Federal Income Tax Returns. The Wall Street...Ch. 7.5 - 27. The Economic Policy Institute periodically...Ch. 7.5 - State Rainfalls. The state of California has a...Ch. 7.5 - The mean preparation fee H&R Block charged retail...Ch. 7.5 - 30. To estimate the mean age for a population of...Ch. 7.6 - 31. A sample of size 100 is selected from a...Ch. 7.6 - 32. A population proportion is .40. A sample of...Ch. 7.6 - Prob. 29ECh. 7.6 - 34. The population proportion is .30. What is the...Ch. 7.6 - Prob. 31ECh. 7.6 - 36. The Wall Street Journal reported that the age...Ch. 7.6 - Prob. 33ECh. 7.6 - Unnecessary Medical Care. According to Reader’s...Ch. 7.6 - Prob. 35ECh. 7.6 - Prob. 36ECh. 7.6 - 41. The Food Marketing Institute shows that 17% of...Ch. 7 - Prob. 38SECh. 7 - 43. The latest available data showed health...Ch. 7 - 44. Foot Locker uses sales per square foot as a...Ch. 7 - 45. Allegiant Airlines charges a mean base fare of...Ch. 7 - 46. After deducting grants based on need, the...Ch. 7 - Prob. 43SECh. 7 - Prob. 44SECh. 7 - Production Quality Control. A production process...Ch. 7 - Prob. 46SECh. 7 - Prob. 47SECh. 7 - Prob. 48SECh. 7 - Prob. 49SECh. 7 - 54. Lori Jeffrey is a successful sales...
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- Negate the following compound statement using De Morgans's laws.arrow_forwardQuestion 6: Negate the following compound statements, using De Morgan's laws. A) If Alberta was under water entirely then there should be no fossil of mammals.arrow_forwardNegate the following compound statement using De Morgans's laws.arrow_forward
- Characterize (with proof) all connected graphs that contain no even cycles in terms oftheir blocks.arrow_forwardLet G be a connected graph that does not have P4 or C3 as an induced subgraph (i.e.,G is P4, C3 free). Prove that G is a complete bipartite grapharrow_forwardProve sufficiency of the condition for a graph to be bipartite that is, prove that if G hasno odd cycles then G is bipartite as follows:Assume that the statement is false and that G is an edge minimal counterexample. That is, Gsatisfies the conditions and is not bipartite but G − e is bipartite for any edge e. (Note thatthis is essentially induction, just using different terminology.) What does minimality say aboutconnectivity of G? Can G − e be disconnected? Explain why if there is an edge between twovertices in the same part of a bipartition of G − e then there is an odd cyclearrow_forward
- Let G be a connected graph that does not have P4 or C4 as an induced subgraph (i.e.,G is P4, C4 free). Prove that G has a vertex adjacent to all othersarrow_forwardWe consider a one-period market with the following properties: the current stock priceis S0 = 4. At time T = 1 year, the stock has either moved up to S1 = 8 (with probability0.7) or down towards S1 = 2 (with probability 0.3). We consider a call option on thisstock with maturity T = 1 and strike price K = 5. The interest rate on the money marketis 25% yearly.(a) Find the replicating portfolio (φ, ψ) corresponding to this call option.(b) Find the risk-neutral (no-arbitrage) price of this call option.(c) We now consider a put option with maturity T = 1 and strike price K = 3 onthe same market. Find the risk-neutral price of this put option. Reminder: A putoption gives you the right to sell the stock for the strike price K.1(d) An investor with initial capital X0 = 0 wants to invest on this market. He buysα shares of the stock (or sells them if α is negative) and buys β call options (orsells them is β is negative). He invests the cash balance on the money market (orborrows if the amount is…arrow_forwardDetermine if the two statements are equivalent using a truth tablearrow_forward
- Question 4: Determine if pair of statements A and B are equivalent or not, using truth table. A. (~qp)^~q в. р л~9arrow_forwardDetermine if the two statements are equalivalent using a truth tablearrow_forwardQuestion 3: p and q represent the following simple statements. p: Calgary is the capital of Alberta. A) Determine the value of each simple statement p and q. B) Then, without truth table, determine the va q: Alberta is a province of Canada. for each following compound statement below. pvq р^~q ~рл~q ~q→ p ~P~q Pq b~ (d~ ← b~) d~ (b~ v d) 0 4arrow_forward
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