Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 4.5, Problem 6BSC
Describing Complements. In Exercises 5–8, provide a written description of the complement of the given
6. No Girls When a couple has five children, none of the five is a girl. (Assume that boys and girls are equally likely.)
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Problem1
We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. (This model is the same as in Prob. 1 of HW#2).We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.
Problem 1.We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%.
We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.(d) We assume that you sell the American put to a market participant A for the pricefound in (b). Explain how you act on the market…
What is the standard scores associated to the left of z is 0.1446
Chapter 4 Solutions
Elementary Statistics
Ch. 4.2 - Florida Lottery Let A denote the event of placing...Ch. 4.2 - Probability Given that the following statement is...Ch. 4.2 - Interpreting Weather While this exercise was being...Ch. 4.2 - Subjective Probability Estimate the probability...Ch. 4.2 - Prob. 5BSCCh. 4.2 - Prob. 6BSCCh. 4.2 - Prob. 7BSCCh. 4.2 - Prob. 8BSCCh. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - In Exercises 912, assume that 400 births are...
Ch. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - Traffic Light When arriving at the traffic light...Ch. 4.2 - Weather While this exercise was being created,...Ch. 4.2 - In Exercises 1320, express the indicated degree of...Ch. 4.2 - Pierced Ears Based on a Harris poll, there is a...Ch. 4.2 - SAT Test When making a random guess for an answer...Ch. 4.2 - Dice When rolling a pair of dice at the Bellagio...Ch. 4.2 - Statistics Test It is impossible to pass a...Ch. 4.2 - In Exercises 1320, express the indicated degree of...Ch. 4.2 - Pre-Employment Drug Screening Find the probability...Ch. 4.2 - Pre-Employment Drug Screening Hind the probability...Ch. 4.2 - Table 4-1 Pre-Employment Drug Screening Results...Ch. 4.2 - Table 4-1 Pre-Employment Drug Screening Results...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Struck by Lightning In a recent year, 304 of the...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - Two Children Exercise 37 lists the sample spice...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Prob. 43BBCh. 4.2 - Finding Odds in Roulette A roulette wheel has 38...Ch. 4.2 - Prob. 45BBCh. 4.2 - Prob. 46BBCh. 4.2 - Relative Risk and Odds Ratio In a clinical trial...Ch. 4.3 - Complements What is wrong with the expression?...Ch. 4.3 - Casino Craps A gambler plans to play the casino...Ch. 4.3 - Disjoint Events For a Gallup poll, M is the event...Ch. 4.3 - Rule of Complements One form of the rule of...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Whatever A Marist poll survey showed that 47% of...Ch. 4.3 - Online Courses According to the National...Ch. 4.3 - Flirting Survey In a Microsoft Instant Messaging...Ch. 4.3 - Finding Complements. In Exercises 58, find the...Ch. 4.3 - Drug Screening If one of the test subjects is...Ch. 4.3 - Drug Screening If one of the test subjects is...Ch. 4.3 - Drug Screening If one of the subjects it randomly...Ch. 4.3 - Drug Screening If one of the subjects is randomly...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Prob. 31BSCCh. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - Gender Selection When analyzing results from a...Ch. 4.3 - Disjoint Events If events A and B are disjoint and...Ch. 4.3 - Exclusive Or The formal addition rule expressed...Ch. 4.3 - Extending the Addition Rule Extend the formal...Ch. 4.3 - Complements and the Addition Rule a. Develop a...Ch. 4.4 - Notation Let R be the event of randomly selecting...Ch. 4.4 - Independent and Dependent Events Are events R and...Ch. 4.4 - Independent and Dependent Events True or false:...Ch. 4.4 - Sample for a Poll There are currently 28,741,346...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Pro-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Acceptance Sampling With one method of a procedure...Ch. 4.4 - Acceptance Sampling With one method of a procedure...Ch. 4.4 - Redundancy In Computer Hard Drives It is generally...Ch. 4.4 - Redundancy In Aircraft Radios The FAA requires...Ch. 4.4 - Born on the 4th of July For the following, ignore...Ch. 4.4 - Hiring Employees Assume that Google, Inc. hires...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - Prob. 26BSCCh. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - Prob. 29BSCCh. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - System Reliability Refer to the figure at the top...Ch. 4.4 - Prob. 32BBCh. 4.5 - Prob. 1BSCCh. 4.5 - Prob. 2BSCCh. 4.5 - Prob. 3BSCCh. 4.5 - Confusion of the Inverse Using the same events A...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - At Least One Correct Answer If you make random...Ch. 4.5 - At Least One Working Calculator A statistics...Ch. 4.5 - Probability of a Girl Assuming that boys and girls...Ch. 4.5 - At Least One Correct Answer If you make random...Ch. 4.5 - Births in the United States hi the United States,...Ch. 4.5 - Births in China In China, the probability of a...Ch. 4.5 - Car Crashes The probability of a randomly selected...Ch. 4.5 - Cleared Burglaries According 10 FBI data, 12.4% of...Ch. 4.5 - At Least One. In Exercises 5-12, find the...Ch. 4.5 - Compliments at Work Based on a poll conducted...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - Identical and Fraternal Twins. In Exercises 25-28,...Ch. 4.5 - Identical and Fraternal Twins. In Exercises 25-28,...Ch. 4.5 - Prob. 27BSCCh. 4.5 - Prob. 28BSCCh. 4.5 - Redundancy in Computer Hard Drives Assume that...Ch. 4.5 - Prob. 30BSCCh. 4.5 - Composite Drug Screening Based on the data in...Ch. 4.5 - Composite Water Samples The Fairfield County...Ch. 4.5 - Prob. 33BBCh. 4.5 - Prob. 34BBCh. 4.6 - Prob. 1BSCCh. 4.6 - Prob. 2BSCCh. 4.6 - California Daily 4 The winning numbers for the...Ch. 4.6 - Selections with Replacement When randomly...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 9BSCCh. 4.6 - Prob. 10BSCCh. 4.6 - Prob. 11BSCCh. 4.6 - Prob. 12BSCCh. 4.6 - Prob. 13BSCCh. 4.6 - Prob. 14BSCCh. 4.6 - Prob. 15BSCCh. 4.6 - Florida Lottery Winning the jackpot in the Florida...Ch. 4.6 - Prob. 17BSCCh. 4.6 - Prob. 18BSCCh. 4.6 - Prob. 19BSCCh. 4.6 - Prob. 20BSCCh. 4.6 - Prob. 21BSCCh. 4.6 - Prob. 22BSCCh. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 24BSCCh. 4.6 - Jumble Puzzle Many newspapers carry Jumble, a...Ch. 4.6 - Jumble Puzzle Many newspapers carry Jumble, a...Ch. 4.6 - Prob. 27BSCCh. 4.6 - Electricity When testing for current in a cable...Ch. 4.6 - Prob. 30BSCCh. 4.6 - Prob. 31BSCCh. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 33BSCCh. 4.6 - Prob. 34BSCCh. 4.6 - Prob. 35BSCCh. 4.6 - Prob. 36BSCCh. 4.6 - Prob. 37BBCh. 4.6 - Prob. 38BBCh. 4.6 - Prob. 39BBCh. 4.6 - Prob. 40BBCh. 4 - A multiple-choice question on a statistics quiz...Ch. 4 - As the author is creating this exercise, a weather...Ch. 4 - Prob. 3CQQCh. 4 - Prob. 4CQQCh. 4 - Estimate the probability that a randomly selected...Ch. 4 - Prob. 6CQQCh. 4 - In Exercises 6-10, use site following results from...Ch. 4 - Prob. 8CQQCh. 4 - In Exercises 6-10, use site following results from...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Trifecta In horse racing, a trifecta is a bet that...Ch. 4 - Prob. 1CRECh. 4 - Unusual/Unlikely Events a. The mean pulse rate for...Ch. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Sampling Eye Color Based on a study by Dr. P....Ch. 4 - Prob. 6CRECh. 4 - Prob. 7CRECh. 4 - Prob. 1FDDCh. 4 - Prob. 2FDDCh. 4 - Prob. 3FDDCh. 4 - Prob. 4FDDCh. 4 - Prob. 5FDDCh. 4 - Prob. 6FDDCh. 4 - Prob. 7FDDCh. 4 - Critical Thinking: Interpreting medical test...Ch. 4 - Prob. 9FDD
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