77% of all students at a college still need to take another math class. If 42 students are randomly selected, find the following probabilities. Round answers to 4 places where possible. (a) Exactly 34 of them need to take another math class. (b) At most 31 of them need to take another math class. (c) At least 33 of them need to take another math class. (d) Between 28 and 34 (including 28 and 34) of them need to take another math class.
77% of all students at a college still need to take another math class. If 42 students are randomly selected, find the following probabilities. Round answers to 4 places where possible. (a) Exactly 34 of them need to take another math class. (b) At most 31 of them need to take another math class. (c) At least 33 of them need to take another math class. (d) Between 28 and 34 (including 28 and 34) of them need to take another math class.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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![### Probability Exercise on Math Class Requirement at College
**Problem Statement:**
77% of all students at a college still need to take another math class. If 42 students are randomly selected, find the following probabilities. Round answers to 4 decimal places where possible.
1. **Exactly 34 of them need to take another math class.**
- **[Answer Box]**
2. **At most 31 of them need to take another math class.**
- **[Answer Box]**
3. **At least 33 of them need to take another math class.**
- **[Answer Box]**
4. **Between 28 and 34 (including 28 and 34) of them need to take another math class.**
- **[Answer Box]**
This problem typically involves using binomial probability distribution to determine the likelihood of a certain number of students out of 42 needing to take another math class, based on the given probability of 77%. Calculations should be performed with precision, rounding the results to four decimal places as stated.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82a8ebfc-76c9-419b-9ea9-29a90be836d5%2F8f016602-459e-4847-9c93-664738c578ff%2Fk6roc9j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability Exercise on Math Class Requirement at College
**Problem Statement:**
77% of all students at a college still need to take another math class. If 42 students are randomly selected, find the following probabilities. Round answers to 4 decimal places where possible.
1. **Exactly 34 of them need to take another math class.**
- **[Answer Box]**
2. **At most 31 of them need to take another math class.**
- **[Answer Box]**
3. **At least 33 of them need to take another math class.**
- **[Answer Box]**
4. **Between 28 and 34 (including 28 and 34) of them need to take another math class.**
- **[Answer Box]**
This problem typically involves using binomial probability distribution to determine the likelihood of a certain number of students out of 42 needing to take another math class, based on the given probability of 77%. Calculations should be performed with precision, rounding the results to four decimal places as stated.
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Step 1: Determine the given variables
VIEWStep 2: Identifying a probability distribution
VIEWStep 3: Finding exact probability using probability mass function
VIEWStep 4: Finding probability " At most " with the help of excel command
VIEWStep 5: Finding " At least " probability using cumulative distribution function
VIEWStep 6: Finding " between " probability using probability mass function
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