If one order is selected, find the probability of getting an order from Restaurant A or an order that is accurate Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events? The probability of getting an order from Restaurant A or an order that is accurate is (Round to three decimal places as needed.) CEES
If one order is selected, find the probability of getting an order from Restaurant A or an order that is accurate Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events? The probability of getting an order from Restaurant A or an order that is accurate is (Round to three decimal places as needed.) CEES
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:### Drive-thru Order Accuracy Analysis
**Objective:** Examine the probability of receiving an accurate order from a drive-thru restaurant, or specifically from Restaurant A.
#### Data Table
The table below summarizes the accuracy of drive-thru orders at four different popular fast food chains, labeled A through D.
| | Drive-thru Restaurant |
|--------------------------| A | B | C | D |
|---------------------------| ------- | -------- | --------| ------- |
| **Order Accurate** | 337 | 268 | 250 | 146 |
| **Order Not Accurate** | 46 | 50 | 39 | 10 |
#### Analysis Task
**Question:** If one order is selected, what is the probability of getting an order from Restaurant A, **or** an order that is accurate? Additionally, are the events of selecting an order from Restaurant A and selecting an accurate order disjoint?
To find the probability, we employ the principle of probability for non-disjoint events.
#### Probabilities
1. Total number of orders = Sum of all entries in the table
- \(337 + 268 + 250 + 146 + 46 + 50 + 39 + 10 = 1146\)
2. Probability of selecting an order from Restaurant A (P(A)):
- \((337 + 46)/1146 = 383/1146\)
- \(P(A) ≈ 0.334\) (rounded to three decimal places)
3. Probability of selecting an accurate order (P(Accurate)):
- \((337 + 268 + 250 + 146)/1146 = 1001/1146\)
- \(P(Accurate) ≈ 0.873\) (rounded to three decimal places)
4. Probability of selecting an accurate order from Restaurant A (P(A and Accurate)):
- \(337/1146\)
- \(P(A and Accurate) ≈ 0.294\) (rounded to three decimal places)
5. **Combined Probability \(P(A \cup Accurate)\):**
- \(P(A) + P(Accurate) - P(A and Accurate)\)
- \(P(A \cup Accurate) ≈ 0.334 + 0.873 - 0.294\)
- \(P(A \cup Accurate)
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