The Walker Construction Company has just received a building contract. Walker estimates there is a 60% chance of making a $500,000 profit, a 10% chance of breaking even, and 30% chance of losing $200,000, depending upon weather conditions and other factors. What is the expected value of the company's contract?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The Walker Construction Company has just received a building contract. Walker estimates there is a 60% chance of making a $500,000 profit, a 10% chance of breaking even, and 30% chance of losing $200,000, depending upon weather conditions and other factors. What is the expected value of the company's contract?

Expert Solution
Step 1

Let us assume X= amount of profit 

Breakeven means no profit.

Let us make a probability distribution for X

Amount of profit (xi) 500000 0 -200000
Probability (pi) 0.60 0.10 0.30

 

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