A game of chance offers the following odds and payoffs. Each play of the game costs $100, so the net profit per play is the payoff less $100. Probability 0.10 0.50 0.40 Payoff $700 Net Profit $600 100 0 0 -100 a-1. What is the expected cash payoff? (Round your answer to the nearest whole dollar amount.) a-2. What is the expected rate of return? (Enter your answer as a percent rounded to the nearest whole number.) b-1. What is the variance of the expected returns? (In the calculation, use the percentage values, not the decimal values for the rates of return. Do not round intermediate calculations. Round your answer to the nearest whole number.) b-2. What is the standard deviation of the expected returns? (Enter your answer as a percent rounded to 2 decimal places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 70P
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A game of chance offers the following odds and payoffs. Each play of the game costs $100, so the net profit per play is the payoff less
$100.
Probability
0.10
0.50
0.40
Payoff
$700
100
Ө
Net Profit
$600
0
-100
a-1. What is the expected cash payoff? (Round your answer to the nearest whole dollar amount.)
a-2. What is the expected rate of return? (Enter your answer as a percent rounded to the nearest whole number.)
b-1. What is the variance of the expected returns? (In the calculation, use the percentage values, not the decimal values for the
rates of return. Do not round intermediate calculations. Round your answer to the nearest whole number.)
b-2. What is the standard deviation of the expected returns? (Enter your answer as a percent rounded to 2 decimal places.)
a-1. Expected cash payoff
a-2. Expected rate of return
b-1. Variance
b-2. Standard deviation
%
Transcribed Image Text:A game of chance offers the following odds and payoffs. Each play of the game costs $100, so the net profit per play is the payoff less $100. Probability 0.10 0.50 0.40 Payoff $700 100 Ө Net Profit $600 0 -100 a-1. What is the expected cash payoff? (Round your answer to the nearest whole dollar amount.) a-2. What is the expected rate of return? (Enter your answer as a percent rounded to the nearest whole number.) b-1. What is the variance of the expected returns? (In the calculation, use the percentage values, not the decimal values for the rates of return. Do not round intermediate calculations. Round your answer to the nearest whole number.) b-2. What is the standard deviation of the expected returns? (Enter your answer as a percent rounded to 2 decimal places.) a-1. Expected cash payoff a-2. Expected rate of return b-1. Variance b-2. Standard deviation %
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