The following is a probability distribution for the number of credit cards a person has. Number of Credit Cards 0 1 3 Probability: 0.200.30 0.200.15 0.10 0.05 a) Calculate the expected value or average number of credit cards a person has. Show Wor b) Interpret what that expected value mean in context to this scenario. 4,
The following is a probability distribution for the number of credit cards a person has. Number of Credit Cards 0 1 3 Probability: 0.200.30 0.200.15 0.10 0.05 a) Calculate the expected value or average number of credit cards a person has. Show Wor b) Interpret what that expected value mean in context to this scenario. 4,
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Probability Distribution for Credit Cards**
The following table represents a probability distribution for the number of credit cards a person has:
| Number of Credit Cards | 0 | 1 | 2 | 3 | 4 | 5 |
|------------------------|-----|-----|-----|-----|-----|-----|
| Probability | 0.20| 0.30| 0.20| 0.15| 0.10| 0.05|
**Tasks:**
a) **Calculate the expected value or average number of credit cards a person has. Show Work!**
b) **Interpret what that expected value means in context to this scenario.**
---
**Expected Value Example 2:**
The Red Cross is selling raffle tickets as a fundraiser. They have 10,000 tickets to sell for $1 each. They will draw 3 winners after all the tickets are sold. The prize distribution is as follows:
- First-place winner: $750
- Second-place winner: $500
- Third-place winner: $250
**Tasks:**
a) **Using the information above, fill in the probability model in the table below:**
| Prize | First Place | Second Place | Third Place | None |
|--------------|-------------|--------------|-------------|------|
| Amount | | | | $0 |
| Probability | | | | |
b) **Calculate the expected value of a ticket. Show work!**
c) **Interpret what that expected value means in context to this scenario.**
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