Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 4, Problem 93H
A student takes a 32-question multiple-choice exam, but did not study and randomly guesses each answer. Each question has three possible choices for the answer. Find the
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A random variable X takes values 0 and 1 with probabilities q and p, respectively, with q+p=1. find the moment generating function of X and show that all the moments about the origin equal p. (Note- Please include as much detailed solution/steps in the solution to understand, Thank you!)
1 (Expected Shortfall)
Suppose the price of an asset Pt follows a normal random walk, i.e., Pt =
Po+r₁ + ... + rt with r₁, r2,... being IID N(μ, o²).
Po+r1+.
⚫ Suppose the VaR of rt is VaRq(rt) at level q, find the VaR of the price
in T days, i.e., VaRq(Pt – Pt–T).
-
• If ESq(rt) = A, find ES₁(Pt – Pt–T).
2 (Normal Distribution)
Let rt be a log return. Suppose that r₁, 2, ... are IID N(0.06, 0.47).
What is the distribution of rt (4) = rt + rt-1 + rt-2 + rt-3?
What is P(rt (4) < 2)?
What is the covariance between r2(2) = 1 + 12 and 13(2) = r² + 13?
• What is the conditional distribution of r₁(3) = rt + rt-1 + rt-2 given
rt-2 = 0.6?
Chapter 4 Solutions
Introductory Statistics
Ch. 4 - A hospital researcher Is Interested In the number...Ch. 4 - Jeremiah has basketball practice two days a week....Ch. 4 - A hospital researcher is interested in the number...Ch. 4 - You are playing a game of chance In which four...Ch. 4 - Suppose you play a game with a spinner. You play...Ch. 4 - On Ma 11, 2013 at 9:30 PM. the probability that...Ch. 4 - The state health board is concerned about the...Ch. 4 - A trainer is teaching a dolphin to do tricks. The...Ch. 4 - A fair, six-sided die is rolled ten times. Each...Ch. 4 - Sixty-five percent of people pass the state...
Ch. 4 - About 32% of students participate in a community...Ch. 4 - According to a Gallup poll, 60% of American adults...Ch. 4 - During the 2013 regular NBA season. DeAndre Jordan...Ch. 4 - A lacrosse team is selecting a captain. The names...Ch. 4 - You throw darts at a board until you hit the...Ch. 4 - An instructor feels that 15% of students get below...Ch. 4 - You need to find a store that carries a special...Ch. 4 - The probability of a defective steel rod is 0.01....Ch. 4 - The literacy rate for a nation measures the...Ch. 4 - A bag contains letter tiles. Forty-four of the...Ch. 4 - A gross of eggs contains 144 eggs. A particular...Ch. 4 - A palette has 200 milk cartons. Of the 200 canons,...Ch. 4 - An intramural basketball team Is to be chosen...Ch. 4 - The average number of fish caught In an hour Is...Ch. 4 - An electronics store expects to have ten returns...Ch. 4 - An emergency room at a particular hospital gets an...Ch. 4 - A customer service center receives about ten...Ch. 4 - According to a recent poll by the Pew Internet...Ch. 4 - Atlanta’s Hartsfield-Jackson International Airport...Ch. 4 - On May 13, 2013, starting at 4:30 PM, the...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Suppose that the PDF for the number of years it...Ch. 4 - A theater group holds a fund-raiser. It sells 100...Ch. 4 - A game Involves selecting a card from a regular...Ch. 4 - You buy a lottery ticket to a lottery that costs...Ch. 4 - Complete the PDF and answer the questions. a. Find...Ch. 4 - Suppose that you are offered the following deal.’...Ch. 4 - A venture capitalist, willing to invest...Ch. 4 - Suppose that 20,000 married adults in the United...Ch. 4 - Suppose that the PDF for the number of years It...Ch. 4 - People visiting video rental stores often rent...Ch. 4 - A friend’ offers you the following deal. For a $10...Ch. 4 - Florida State University has 14 statistics classes...Ch. 4 - In a lottery, there are 250 prizes of $5. 50...Ch. 4 - According to a recent ankle the average number of...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - People visiting video rental stores often rent...Ch. 4 - A school newspaper reporter decides to randomly...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following infonnanors to answer the next...Ch. 4 - What is the probability that the San Jose Sharks...Ch. 4 - A student takes a ten-question true-false quiz,...Ch. 4 - A student takes a 32-question multiple-choice...Ch. 4 - Six different colored dice are rolled. Of interest...Ch. 4 - More than 96 percent of the veiy Largest colleges...Ch. 4 - Suppose that about 85% of graduating students...Ch. 4 - At The Fencing Center. 60% of the fencers use the...Ch. 4 - Approximately 8% of students at a local high...Ch. 4 - The chance of an IRS audit for a tax return with...Ch. 4 - It has been estimated that only about 30% of...Ch. 4 - There are two similar games played for Chinese New...Ch. 4 - According to The World Bank, only 9% of the...Ch. 4 - The literacy rate for a nation measures the...Ch. 4 - A consumer looking to buy a used red Miata car...Ch. 4 - Suppose that the probability that an adult In...Ch. 4 - It has been estimated that only about 3000 of...Ch. 4 - In one of its Spring catalogs, Li. Beans...Ch. 4 - Suppose that you are performing the probability...Ch. 4 - Ellen has music practice three days a week. She...Ch. 4 - The World Bank records the prevalence of HIV In...Ch. 4 - According to a recent Pew Research poll, 75% of...Ch. 4 - A group of Martial Arts students Is planning on...Ch. 4 - In one of its Spring catalogs, L.L. Bean...Ch. 4 - Suppose that a technology task force Is being...Ch. 4 - Suppose that nine Massachusetts athletes are...Ch. 4 - A bridge hand Is defined as 13 cards selected at...Ch. 4 - The switchboard in a Minneapolis law office gets...Ch. 4 - The matemity ward at Dr. Jose Fabella Memorial...Ch. 4 - A manufacturer of Christmas tree light bulbs knows...Ch. 4 - The average number of children a Japanese woman...Ch. 4 - The average number of children a Spanish woman has...Ch. 4 - Fertile, female cats produce an average of three...Ch. 4 - The chance of having an extra fortune In a fortune...Ch. 4 - According to the South Carolina Department of...Ch. 4 - The chance of an IRS audit for a tax return with...Ch. 4 - Approximately 8% of students at a local high...Ch. 4 - On average, Pierre, an amateur chef, drops three...Ch. 4 - Use the following information to answer the next v...Ch. 4 - Use the following information to answer the next v...
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