At a restaurant a server kept track of their weekly tips and found that they have the following probabilities A. Find the expected value of the weekly tips B. Find the standard deviation of the weekly tips
At a restaurant a server kept track of their weekly tips and found that they have the following probabilities A. Find the expected value of the weekly tips B. Find the standard deviation of the weekly tips
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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Question
1. At a restaurant a server kept track of their weekly tips and found that they have the following probabilities
A. Find the expected value of the weekly tips
B. Find the standard deviation of the weekly tips
![At a restaurant, a server kept track of their weekly tips and found that they have the following probabilities:
| \( X = \) Weekly tip (in $) | $200 | $300 | $400 |
|----------------------------|------|------|------|
| Probability | 0.5 | 0.4 | 0.1 |
**Explanation:**
This table represents the probability distribution of weekly tips received by a server. It shows the likelihood of receiving different amounts ($200, $300, and $400) in tips over a week.
- There is a 50% chance of receiving $200.
- There is a 40% chance of receiving $300.
- There is a 10% chance of receiving $400.
The probabilities sum up to 1, confirming that all possible outcomes are accounted for.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff472a379-eb67-4c5b-beaa-001624e3a4fc%2F602a1067-b8c0-4db6-ad02-1061a88ca5f6%2Fykq160o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:At a restaurant, a server kept track of their weekly tips and found that they have the following probabilities:
| \( X = \) Weekly tip (in $) | $200 | $300 | $400 |
|----------------------------|------|------|------|
| Probability | 0.5 | 0.4 | 0.1 |
**Explanation:**
This table represents the probability distribution of weekly tips received by a server. It shows the likelihood of receiving different amounts ($200, $300, and $400) in tips over a week.
- There is a 50% chance of receiving $200.
- There is a 40% chance of receiving $300.
- There is a 10% chance of receiving $400.
The probabilities sum up to 1, confirming that all possible outcomes are accounted for.
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