Title: Probability Calculations for Nonalcoholic Beverage Orders at Noodles & Company --- ### Scenario Description At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 0.47. ### Problem Statements and Instructions: #### 1. Find the probability that in a sample of 11 customers, none of them will order a nonalcoholic beverage. - **Instruction**: Round your answer to 4 decimal places. **Probability**: ``` [ ] ``` #### 2. Find the probability that in a sample of 11 customers, at least 4 will order a nonalcoholic beverage. - **Instruction**: Round your answer to 4 decimal places. **Probability**: ``` [ ] ``` #### 3. Find the probability that in a sample of 11 customers, fewer than 5 will order a nonalcoholic beverage. - **Instruction**: Round your answer to 4 decimal places. **Probability**: ``` [ ] ``` #### 4. Find the probability that in a sample of 11 customers, all 11 will order a nonalcoholic beverage. - **Instruction**: Round your answer to 4 decimal places. **Probability**: ``` [ ] ``` ### Notes: - To calculate these probabilities, one might use the binomial probability formula, which is defined as: \[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \] where: - \( \binom{n}{k} \) is the binomial coefficient (which can be computed using combinations), - \( n \) is the number of trials (11 in this case), - \( k \) is the number of successful trials, - \( p \) is the probability of success on a single trial (0.47 here). ### Additional Instructions: - Ensure the values are accurately rounded to four decimal places. - Use a calculator or a statistical software tool to compute complex binomial probabilities. ---
Title: Probability Calculations for Nonalcoholic Beverage Orders at Noodles & Company --- ### Scenario Description At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 0.47. ### Problem Statements and Instructions: #### 1. Find the probability that in a sample of 11 customers, none of them will order a nonalcoholic beverage. - **Instruction**: Round your answer to 4 decimal places. **Probability**: ``` [ ] ``` #### 2. Find the probability that in a sample of 11 customers, at least 4 will order a nonalcoholic beverage. - **Instruction**: Round your answer to 4 decimal places. **Probability**: ``` [ ] ``` #### 3. Find the probability that in a sample of 11 customers, fewer than 5 will order a nonalcoholic beverage. - **Instruction**: Round your answer to 4 decimal places. **Probability**: ``` [ ] ``` #### 4. Find the probability that in a sample of 11 customers, all 11 will order a nonalcoholic beverage. - **Instruction**: Round your answer to 4 decimal places. **Probability**: ``` [ ] ``` ### Notes: - To calculate these probabilities, one might use the binomial probability formula, which is defined as: \[ P(X = k) = \binom{n}{k} p^k (1-p)^{n-k} \] where: - \( \binom{n}{k} \) is the binomial coefficient (which can be computed using combinations), - \( n \) is the number of trials (11 in this case), - \( k \) is the number of successful trials, - \( p \) is the probability of success on a single trial (0.47 here). ### Additional Instructions: - Ensure the values are accurately rounded to four decimal places. - Use a calculator or a statistical software tool to compute complex binomial probabilities. ---
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Title: Probability Calculations for Nonalcoholic Beverage Orders at Noodles & Company
---
### Scenario Description
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 0.47.
### Problem Statements and Instructions:
#### 1. Find the probability that in a sample of 11 customers, none of them will order a nonalcoholic beverage.
- **Instruction**: Round your answer to 4 decimal places.
**Probability**:
```
[ ]
```
#### 2. Find the probability that in a sample of 11 customers, at least 4 will order a nonalcoholic beverage.
- **Instruction**: Round your answer to 4 decimal places.
**Probability**:
```
[ ]
```
#### 3. Find the probability that in a sample of 11 customers, fewer than 5 will order a nonalcoholic beverage.
- **Instruction**: Round your answer to 4 decimal places.
**Probability**:
```
[ ]
```
#### 4. Find the probability that in a sample of 11 customers, all 11 will order a nonalcoholic beverage.
- **Instruction**: Round your answer to 4 decimal places.
**Probability**:
```
[ ]
```
### Notes:
- To calculate these probabilities, one might use the binomial probability formula, which is defined as:
\[
P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
\]
where:
- \( \binom{n}{k} \) is the binomial coefficient (which can be computed using combinations),
- \( n \) is the number of trials (11 in this case),
- \( k \) is the number of successful trials,
- \( p \) is the probability of success on a single trial (0.47 here).
### Additional Instructions:
- Ensure the values are accurately rounded to four decimal places.
- Use a calculator or a statistical software tool to compute complex binomial probabilities.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c7c255b-9578-426a-91b4-938323176667%2F43701ddd-7e55-4830-9ad1-efa293884573%2Fbuen0sd.jpeg&w=3840&q=75)
Transcribed Image Text:Title: Probability Calculations for Nonalcoholic Beverage Orders at Noodles & Company
---
### Scenario Description
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is 0.47.
### Problem Statements and Instructions:
#### 1. Find the probability that in a sample of 11 customers, none of them will order a nonalcoholic beverage.
- **Instruction**: Round your answer to 4 decimal places.
**Probability**:
```
[ ]
```
#### 2. Find the probability that in a sample of 11 customers, at least 4 will order a nonalcoholic beverage.
- **Instruction**: Round your answer to 4 decimal places.
**Probability**:
```
[ ]
```
#### 3. Find the probability that in a sample of 11 customers, fewer than 5 will order a nonalcoholic beverage.
- **Instruction**: Round your answer to 4 decimal places.
**Probability**:
```
[ ]
```
#### 4. Find the probability that in a sample of 11 customers, all 11 will order a nonalcoholic beverage.
- **Instruction**: Round your answer to 4 decimal places.
**Probability**:
```
[ ]
```
### Notes:
- To calculate these probabilities, one might use the binomial probability formula, which is defined as:
\[
P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
\]
where:
- \( \binom{n}{k} \) is the binomial coefficient (which can be computed using combinations),
- \( n \) is the number of trials (11 in this case),
- \( k \) is the number of successful trials,
- \( p \) is the probability of success on a single trial (0.47 here).
### Additional Instructions:
- Ensure the values are accurately rounded to four decimal places.
- Use a calculator or a statistical software tool to compute complex binomial probabilities.
---
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