Refer to the following formula for expected payoff:Expected payoff = [Probability of rival matching Loss from price cut] + [Probability of rival not matching & Gain from price cut]Suppose the payoff to each of four strategic interactions is as follows:Your Company's ActionReduce priceDon't reduce priceRival ResponseReduce PriceLoss = $500Loss = $10,000Don't Reduce PriceGain = $15,000No loss or gainInstructions: Enter your responses as a whole number. If you are entering any negative numbers be sure to include a negative sign (-)in front of those numbers.a. If the probability of rivals matching a price reduction is 94 percent, what is the expected payoff of a price cut?Nob. If the probability of rivals reducing price even though you don't reduce your price is 3 percent, what is the expected payoff of notreducing price?$c. Based on your answers to (a) and (b), should the firm cut its price?O Can't determine from the information given

We're given the following payoff table, which shows the profit/loss to a firm based on whether they…

Answered: Refer to the following formula for…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Rick Miller has just opened a new bakery in Frisco, Colorado, called Morning Fresh. In performing an economic analysis, Rick has determined that the marginal cost or loss for each dozen doughnuts sold is $4. The marginal profit is estimated to be $2.75 per dozen doughnuts. At this time, Rick is considering stocking 10, 15, 20, 25 or 30 dozen doughnuts. The probability of selling 10 dozen doughnuts is 10%. The chance of selling 15 Dozen doughnuts is 20%. There is a 30% chance that Morning Fresh will sell either 20 or 25 dozen doughnuts. Finally, there is a 10% chance of selling 30 dozen doughnuts, which is considered by Rick to be the most that Morning Fresh would be able to accommodate. What is your recommendation to Rick ?
Suppose Janice has a 25% chance of totaling her car (worth $13,500) this year and Sam has a 19% chance of totaling his car ($23,700) this year. If you have a car insurance company and you want to offer an insurance policy to these two customers and offer it for the same price, what price should you charge (without any profit mark-up)?
The recent economic downturn resulted in the loss of jobs and an increase in delinquentloans for housing. In projecting where the real estate market was headed in the comingyear, economists studied the relationship between the jobless rate and the percentage ofdelinquent loans. The expectation was that if the jobless rate continued to increase, therewould also be an increase in the percentage of delinquent loans. The following data showthe jobless rate and the delinquent loan percentage for 27 major real estate markets. a. Compute the correlation coefficient. Is there a positive correlation between the joblessrate and the percentage of delinquent housing loans? What is your interpretation?b. Show a scatter diagram of the relationship between the jobless rate and the percentage
1. Explain, why doesn’t an estimated absolute covariance number tell the investor much about the relationship between the returns on the two assets?
Returns earned over a given time period are called realized returns. Historical data on realized returns is often used to estimate future results. Analysts across companies use realized stock returns to estimate the risk of a stock. Consider the case of Celestial Crane Cosmetics Inc. (CCC): Five years of realized returns for CCC are given in the following table. Remember: 1. While CCC was started 40 years ago, its common stock has been publicly traded for the past 25 years. 2. The returns on its equity are calculated as arithmetic returns. 3. The historical returns for CCC for 2014 to 2018 are: 2014 2015 2016 2017 2018 Stock return 18.75% 12.75% 22.50% 31.50% 9.75% Given the preceding data, the average realized return on CCC’s stock is . The preceding data series represents of CCC’s historical returns. Based on this conclusion, the standard deviation of CCC’s historical returns is . If investors expect the…
The amount of income spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of 20 homeowners in New England and then calculated these total housing costs as a percent of monthly income, 5 years ago and now. The information is reported below. Is it reasonable to conclude the percent is less now than 5 years ago? Homeowner Five Years Ago Now Homeowner Five Years Ago Now 1 17 % 10 % 11 35 % 32 % 2 20 39 12 16 32 3 29 37 13 23 21 4 43 27 14 33 12 5 36 12 15 44 40 6 43 41 16 44 42 7 45 24 17 28 22 8 19 26 18 29 19 9 49 28 19 39 35 10 49…
An investor is concerned with the market return for the coming year, where the market return is defined as the percentage gain (or loss, if negative) over the year. The investor believes there are five possible scenarios for the national economy in the coming year: rapid expansion, moderate expansion, no growth, moderate contraction, and serious contraction. Furthermore, she has used all of the information available to her to estimate that the market returns for these scenarios are, respectively, 23%, 18%, 15%, 9%, and 3%. That is, the possible returns vary from a high of 23% to a low of 3%. Also, she has assessed that the probabilities of these outcomes are 0.12, 0.40, 0.25, 0.15, and 0.08. Use this information to describe the probability distribution of the market return. Compute the following for the probability distribution of the market return for the coming year.: 1. Mean, 2. Variance, 3. Standard deviation Show your solutions.
The ABC Company is involved in the production and selling of consumer goods, particularly beauty products such as bath soap and shampoo and had registered a positive profit growth for the last 10 years. However, the current year seems to be different from those years as the company is expecting a decline in profit; which is estimated to be about 70% below the target. The manager now is in a dilemma … asking himself/herself “What happened, why this decline in profit?” The Manager then asked the company Accountant to give him/her the data on sales and advertising cost for the last 10 years – he/she wants these data to determine whether the company can live without advertising, as advertising cost happens to be substantial. Justify your answer by doing as step-by-step procedure in Correlation Analysis using a 0.05 level of significance. The data are as follows –
The Harriet Hotel in downtown Boston has 100 rooms that rent for $150 per night. It costs the hotel $30 per room in variable costs (cleaning, bathroom items, etc.) each night a room is occupied. For each reservation accepted, there is a 5% chance that the guest will not arrive. If the hotel overbooks, it costs $200 to compensate guests whose reservations cannot be honored. How many reservations should the hotel accept if it wants to maximize the average daily profit?
You are analyzing stocks of three companies you are interested in investing in. Suppose that these three stocks are Apple stock (AAPL), Microsoft (MSFT), and Tesla (TSLA). At the end of this month, each month may move up (increase in value), move down (decrease in value) or stay the same. In this case, an experiment consists of observing the price condition across the three stocks. Each of the three conditions (move up, move down, stay same) are equally likely. How many outcomes are in the sample space? List 7 of the outcomes. (use U for move up, D for moving down and S for staying the same) Let A be the event that all the stocks have the same performance. List the outcomes in A. Let B be the event that all of stocks are different. List the outcomes in B. Let C be the event that at least two stocks move up. Are events A and C mutually exclusive? Are events B and C mutually exclusive? What is the probability of ? What is the probability of ? What is the probability of ? What is the…
You are analyzing stocks of three companies you are interested in investing in. Suppose that these three stocks are Apple stock (AAPL), Microsoft (MSFT), and Tesla (TSLA). At the end of this month, each month may move up (increase in value), move down (decrease in value) or stay the same. In this case, an experiment consists of observing the price condition across the three stocks. Each of the three conditions (move up, move down, stay same) are equally likely. How many outcomes are in the sample space? List 7 of the outcomes. (use U for move up, D for moving down and S for staying the same) Let A be the event that all the stocks have the same performance. List the outcomes in A. Let B be the event that all of stocks are different. List the outcomes in B. Let C be the event that at least two stocks move up. Are events A and C mutually exclusive? Are events B and C mutually exclusive? What is the probability of ? What is the probability of ? What is the probability of ? What is the…
Is the data point P in the picture... ...an influential point...a leverage point...none of the other options...an outlier

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