**Problem Statement:** An LG Dishwasher, which costs $1000, has a 16% chance of needing to be replaced in the first 2 years of purchase. A two-year extended warranty costs $112.10 on a dishwasher. Assume the dishwasher is replaced in the first 2 years. **a) Probability Distribution:** Write out the probability distribution for the value of the extended warranty. *Instructions:* Make sure you enter your X values from smallest to largest. | X | P(X) | |-----|------| | | | | | | **b) Expected Value Calculation:** What is the expected value of the extended warranty? *Instructions:* Round final answer to 2 decimal places and write the units in the second box.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Problem Statement:**

An LG Dishwasher, which costs $1000, has a 16% chance of needing to be replaced in the first 2 years of purchase. A two-year extended warranty costs $112.10 on a dishwasher. Assume the dishwasher is replaced in the first 2 years.

**a) Probability Distribution:**

Write out the probability distribution for the value of the extended warranty.

*Instructions:* Make sure you enter your X values from smallest to largest.

| X   | P(X) |
|-----|------|
|     |      |
|     |      |

**b) Expected Value Calculation:**

What is the expected value of the extended warranty?

*Instructions:* Round final answer to 2 decimal places and write the units in the second box.
Transcribed Image Text:**Problem Statement:** An LG Dishwasher, which costs $1000, has a 16% chance of needing to be replaced in the first 2 years of purchase. A two-year extended warranty costs $112.10 on a dishwasher. Assume the dishwasher is replaced in the first 2 years. **a) Probability Distribution:** Write out the probability distribution for the value of the extended warranty. *Instructions:* Make sure you enter your X values from smallest to largest. | X | P(X) | |-----|------| | | | | | | **b) Expected Value Calculation:** What is the expected value of the extended warranty? *Instructions:* Round final answer to 2 decimal places and write the units in the second box.
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Step 1

Given : 

An LG Dishwasher, which costs $1000, has a 23% chance of needing to be replaced in the first 2 years of purchase. A two-year extended warrantee costs $112.10 on a dishwasher. Assume the dishwasher is replaced in the first 2 years. 

Let, X denotes cost of a dishwater 

     P(X) denotes probability of  needing to be replaced a dishwater in the first 2 years of purchase . 

 

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