Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
3rd Edition
ISBN: 9781259969454
Author: William Navidi Prof.; Barry Monk Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6, Problem 1CQ
Explain why the following is not a
Expert Solution & Answer
To determine
To explain whether the given distribution is probability distribution.
Answer to Problem 1CQ
This is not a probability distribution as the sum of probabilities are not equal to 1.
Explanation of Solution
Given:
| x | 6 | 7 | 8 | 9 | 10 |
| P(x) | 0.32 | 0.11 | 0.19 | 0.28 | 0.03 |
A distribution is considered as a valid probability distribution when sum of all the probability of all outcomes of an experiment is equal to 1.
Let’s check whether the sum of probability is one or not:
Since the sum of all probabilities is not equal to 1, therefore, it is not a probability distribution.
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Strength of the relationship (strong/moderate/weak):
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In this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0
given (under the measure P) by
d.St 0.03 St dt + 0.2 St dwt,
with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to
price an option on this stock (which we name cubic put). This option is European-type, with
maturity 3 months (i.e. T = 0.25 years), and payoff given by
F = (8-5)+
(a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure
Q. (You don't need to prove it, simply give the answer.)
(b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2.
(c) Let X =
S. Find the Stochastic Differential Equation satisfied by the process (Xt)
under the measure Q.
(d) Find an explicit expression for X₁ = S3 under measure Q.
(e) Using the results above, find the price of the cubic put option mentioned above.
(f) Is the price in (e) the same as in question (b)? (Explain why.)
Chapter 6 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...
Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - Prob. 32ECh. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - Prob. 36ECh. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - Fill in the value so that the following table...Ch. 6.1 - Fill in the missing value so that the following...Ch. 6.1 - Put some air in your tires: Let X represent the...Ch. 6.1 - Fifteen items or less: The number of customers in...Ch. 6.1 - Defective circuits: The following table presents...Ch. 6.1 - Do you carpool? Let X represent the number of...Ch. 6.1 - Dirty air: The federal government has enacted...Ch. 6.1 - Prob. 46ECh. 6.1 - Relax! The General Social Survey asked 1676 people...Ch. 6.1 - Pain: The General Social Survey asked 827 people...Ch. 6.1 - School days: The following table presents the...Ch. 6.1 - World Cup: The World Cup soccer tournament has...Ch. 6.1 - Lottery: In the New York State Numbers Lottery:...Ch. 6.1 - Lottery: In the New York State Numbers Lottery,...Ch. 6.1 - Craps: In the game of craps, two dice are rolled,...Ch. 6.1 - Prob. 54ECh. 6.1 - Multiple choice: A multiple-choice question has...Ch. 6.1 - Prob. 56ECh. 6.1 - Business projection: An investor is considering a...Ch. 6.1 - Insurance: An insurance company sells a one-year...Ch. 6.1 - Boys and girls: A couple plans to have children...Ch. 6.1 - Girls and boys: In Exercise 59, let X be the...Ch. 6.1 - Success and failure: Three components are randomly...Ch. 6.2 - In Exercises 5-7, fill in each blank with the...Ch. 6.2 - In Exercises 5-7, fill in each blank with the...Ch. 6.2 - In Exercises 5-7, fill in each blank with the...Ch. 6.2 - Prob. 8ECh. 6.2 - In Exercises 8-10, determine whether the statement...Ch. 6.2 - In Exercises 8-10, determine whether the statement...Ch. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - Prob. 14ECh. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - Prob. 16ECh. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - Prob. 18ECh. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Match each TI-84 PLUS calculator command the...Ch. 6.2 - Take a guess: A student takes a true-false test...Ch. 6.2 - Take another guess: A student takes a...Ch. 6.2 - Your flight has been delayed: At Denver...Ch. 6.2 - Car inspection: Of all the registered automobiles...Ch. 6.2 - Google it: According to a report of the Nielsen...Ch. 6.2 - What should I buy? A study conducted by the Pew...Ch. 6.2 - Blood types: The blood type O negative is called...Ch. 6.2 - Coronary bypass surgery: The Agency for Healthcare...Ch. 6.2 - College bound: The Statistical Abstract of the...Ch. 6.2 - Big babies: The Centers for Disease Control and...Ch. 6.2 - High blood pressure: The National Health and...Ch. 6.2 - Prob. 40ECh. 6.2 - Testing a shipment: A certain large shipment comes...Ch. 6.2 - Smoke detectors: An company offers a discount to...Ch. 6.2 - Prob. 43ECh. 6.3 - In Exercises 5 and 6, fill in each blank with the...Ch. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Flaws in aluminum foil: The number of flaws in a...Ch. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Computer messages: The number of tweets received...Ch. 6.3 - Prob. 24ECh. 6.3 - Trees in the forest: The number of trees of a...Ch. 6.3 - Prob. 26ECh. 6.3 - Drive safely: In a recent year, there were...Ch. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6 - Explain why the following is not a probability...Ch. 6 - Find die mean of the random variable X with the...Ch. 6 - Refer to Problem 2. the variance of the random...Ch. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - At a cell phone battery plant. 5% of cell phone...Ch. 6 - Refer to Problem 9. 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