A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below. Number of Breakdowns Probability .12 1 38 2 25 18 4 .07 16. Refer to Exhibit 5-4. The probability of at least 3 breakdowns in a month is .5 .10 .25 .30
A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below. Number of Breakdowns Probability .12 1 38 2 25 18 4 .07 16. Refer to Exhibit 5-4. The probability of at least 3 breakdowns in a month is .5 .10 .25 .30
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:A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below.
| Number of Breakdowns | Probability |
|----------------------|-------------|
| 0 | 0.12 |
| 1 | 0.38 |
| 2 | 0.25 |
| 3 | 0.18 |
| 4 | 0.07 |
Question 16: Refer to Exhibit 5-4. The probability of at least 3 breakdowns in a month is ______.
Options:
- 0.5
- 0.10
- 0.25
- 0.30 (selected answer)
In the given probability distribution, the probabilities for having 3 or more breakdowns (i.e., 3 or 4 breakdowns) in a month are:
- 3 breakdowns: 0.18
- 4 breakdowns: 0.07
The probability of at least 3 breakdowns is calculated as the sum of these probabilities: 0.18 + 0.07 = 0.25. However, the selected answer is 0.30.
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