EBK MICROECONOMICS
9th Edition
ISBN: 8220103630955
Author: Rubinfeld
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 5, Problem 4E
To determine
The expected value of the lottery and the variance.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Suppose an investor is concerned about a business choice in which there are three projects, the probability and returns are given below.
Probability
Return
0.4
$100
0.4
40
The expected value of the uncertain investment is $ ----------- (round off to the nearest dollar.
Suppose an investor is concerned about a business choice in which there are three prospects;
the probability and returns are given below:
Probability
0.5
0.3
0.2
The expected value of the uncertain investment is $
dollar.)
Return
$110
30
- 30
(Round your answer to the nearest
Given a choice between two investments with the same expected payoff:
a. Most people will choose the one with the lower standard deviation
b. Most people will opt for the one with the higher standard deviation
c. Most people will be indifferent since the expected payoffs are the same
d. Most people will calculate the variance to assess the relative risks of the two choices
Knowledge Booster
Similar questions
- Consider an investment that pays off $700 or $1,600 per $1,000 invested with equal probability. Suppose you have $1,000 but are willing to borrow to increase your expected return. What would happen to the expected value and standard deviation of the investment if you borrowed an additional $1,000 and invested a total of $2,000? What if you borrowed $2,000 to invest a total of $3,000? Instructions: Fill in the table below to answer the questions above. Enter your responses as whole numbers and enter percentage values as percentages not decimals (.e., 20% not 0.20). Enter a negative sign (-) to indicate a negative number if necessary. Invest $1,000 Invest $2,000 Invest $3,000 Expected Value Percent Increase Standard Deviation 1150 S 28 % $ 8 % $ Expected Return N/A Doubled Tripled : #arrow_forwarda. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours? (answer in three decimal places) b. An instructor has found that the time spent by students on a particular homework assignment follows a normal distribution with mean 150 minutes and standard deviation 40 minutes. The probability is 0.8 that a randomly chosen student spends less than how many minutes on this assignment. (answer in one decimal place),arrow_forwarda. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours? (answer in three decimal places)arrow_forward
- RISK ANALYSIS A financial investor builds a portfolio that is worth an expected £35mil. The investor knows that his analysts can build a model to boost the potential return from the portfolio investment. The additional return has a Normal Distribution with mean £3mil and standard deviation £0.5mil. The investor wishes to sell his financial services at a price that guarantees his expected profit will be 5% of the total return from the portfolio. What should the price of his financial service be? Simulate (with a min of 200 repetitions) the average and the standard deviation of the profit the financial advisor realizes when setting the price for his services between 1% and 10% of the total expected return from the portfolio. Then discuss your findings.arrow_forwardQ1) An expected utility maximiser owns a car worth £60000£60000 and has a bank account with £20000£20000. The money in the bank is safe, but there is a 50%50% probability that the car will be stolen. The utility of wealth for the agent is u(y)=ln(y)u(y)=ln(y) and they have no other assets.arrow_forwardA new Bookstore web-site receives 12 hits each day. The probability that a hit results in a purchase is 0.4700 1. Hand Calculate the expected value, E(x); the variance, var(x), and the standard deviation, s(x). Go to 4 decimals Expected value = Variance = Standard deviation = HELPFUL FORMULAS for BINOMIAL Distribution : Expected Value = E(x) = µ = np Variance = o = npq = np(1-p) Standard Deviation =o = Vơ or SQRT Variance Using Table output below and your calculator to answer the following questions (#'s 2-8). Go to 4 decimals and show ALL work. f(x) cum f(x) 0.0005 0.0005 0.0052 0.0057 2 0.0255 0.0312 3 0.0754 0.1066 0.1504 0.2570 0.2134 0.4703 0.2208 0.6911 7 0.1678 0.8589 8. 0.0930 0.9519 0.0367 0.9886 10 0.0098 0.9983 11 0.0016 0.9999 12 0.0001 1.0000 You may hand write your answers. Take a photo of your work for Part I and submit along with photo of work for Part II onto Canvas. Please use the CamScanner app or similar app on your phone and convert your photo files to a PDF before…arrow_forward
- A lottery has a grand prize of $1,000,000, 2 runner-up prizes of $100,000 each, 6 third-place prizes of $10,000 each, and 19 consolation prizes of $1,000 each. If a 4 million tickets are sold for $1 each, and the probability of any ticket winning is the same as that of any other winning, find the expected return on a $1 ticket. (Round your answer to 2 decimal places.arrow_forwardQuestion One. The ABC Book Company has a choice of publishing one of two books on the subject of Greek mythology. It expects the sales period for each to be extremely short, and it estimates profit probabilities as follows: Probability 0.2 0.3 0.3 0.2 Book A Profit Class Exercise $2,000 2,300 2,600 : 2,900 Probability 0.1 0.4 0.4 0.1 Book B Profit $1,500 1,700 1,900 2,100 Calculate the expected profit, standard deviation, and coefficient of variation for each of the two books. If you were asked which of the two to publish, what would be your advice?arrow_forwardAnticipated consumer demand in a restaurant for free-range steaks next month can be modeled by a normal random variable with mean 1,200 pounds and standard deviation 100 pounds. a. What is the probability that demand will be between 1,100 and 1,300 pounds? Calculate in 4 decimal place. b. The probability is 0.10 that demand will be more than how many pounds?arrow_forward
- A new company is offering its shares for sale in an initial public offering (IPO) through an auction. There is a 50% probability that the company will be very successful, in which case each share is worth $28. Otherwise, each share is worth $0. You are competing with professional investors such as hedge funds that know if the company will be successful or not. Part 1If you bid $14 per share, what is your expected return?arrow_forwardQuestion10: The game matrix table arranged according to player A is given.by solving the game with the graphic method;2-)Find the probability of playing strategy 1 of B.2-)Find the probability of playing B's strategy 2.3-) Find the expected game value.arrow_forwardCatalina just inherited a vineyard from a distant relative. In good years (when there is no rain or frost during harvest season), she earns $115,000 from the sale of grapes from the vineyard. If the weather is poor, she loses $35,000. Catalina's estimate of the probability of good weather is 55%. The expected value of Catalina's income from the vineyard is $. (round your answer to the nearest dollar)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics: Applications, Strategies an...EconomicsISBN:9781305506381Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. HarrisPublisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Managerial Economics: Applications, Strategies an...
Economics
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:Cengage Learning