Jenny owns a home in a heavily wooded area. If there is a 1-in-25 chance of fire in the area, what is her expected loss given the following possible outcomes: • Minor smoke damage: cost = $6000, probability = 50% • Exterior fire damage: cost = $16000, probability = 30% • Everything ruined: cost = $155000, probability = 5% Answer Choices: $622 $7080 $312 $880

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Jenny owns a home in a heavily wooded area. If there is a 1-in-25 chance of fire in the area, what is her expected loss given the following possible outcomes:

• Minor smoke damage: cost = $6000, probability = 50%
• Exterior fire damage: cost = $16000, probability = 30%
• Everything ruined: cost = $155000, probability = 5%

Answer Choices:

$622
$7080
$312
$880
Expert Solution
Step 1

Given that, Jenny owns a home in a heavily wooded area. If there is a 1-in-25 chance of fire in the area, we need to find her expected loss given the following possible outcomes:

• Minor smoke damage: cost = $6000, probability = 50%
• Exterior fire damage: cost = $16000, probability = 30%
• Everything ruined: cost = $155000, probability = 5%

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