Ten otherwise identical cards are numbered from 1 to 7 and well shuffled. One card is randomly drawn. The numbers from 1 through 7 is 1) the sample space 2) a binomial random variable 3) an outcome 4) independent of drawing an odd-numbered card 5) the likelihood principle

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Question 8**

Ten otherwise identical cards are numbered from 1 to 7 and well shuffled. One card is randomly drawn. The numbers from 1 through 7 is __________.

1. the sample space
2. a binomial random variable 
3. an outcome
4. independent of drawing an odd-numbered card
5. the likelihood principle

---

This multiple-choice question is designed to test a student's understanding of basic statistical and probabilistic concepts. To answer the question correctly, the student must identify what the set of numbers from 1 to 7 represents in the context of probability. 

Detailed explanation:
- **Option 1: the sample space** - Sample space is the set of all possible outcomes in a probability experiment, which in this case would be the numbers 1 to 7.
- **Option 2: a binomial random variable** - A binomial random variable represents the number of successes in a fixed number of Bernoulli trials with the same probability of success. The scenario described does not fit this definition.
- **Option 3: an outcome** - An outcome refers to a single result of a probability experiment. Each draw of a card results in one outcome such as drawing a 3 or a 5.
- **Option 4: independent of drawing an odd-numbered card** - This option describes independence, which is not directly relevant to the question about identifying the numbers 1 to 7.
- **Option 5: the likelihood principle** - The likelihood principle pertains to the likelihood function in statistics, which is used for inference and not directly relevant to identifying the numbers 1 to 7 in this context.

For this question, the correct answer is **Option 1: the sample space**.
Transcribed Image Text:**Question 8** Ten otherwise identical cards are numbered from 1 to 7 and well shuffled. One card is randomly drawn. The numbers from 1 through 7 is __________. 1. the sample space 2. a binomial random variable 3. an outcome 4. independent of drawing an odd-numbered card 5. the likelihood principle --- This multiple-choice question is designed to test a student's understanding of basic statistical and probabilistic concepts. To answer the question correctly, the student must identify what the set of numbers from 1 to 7 represents in the context of probability. Detailed explanation: - **Option 1: the sample space** - Sample space is the set of all possible outcomes in a probability experiment, which in this case would be the numbers 1 to 7. - **Option 2: a binomial random variable** - A binomial random variable represents the number of successes in a fixed number of Bernoulli trials with the same probability of success. The scenario described does not fit this definition. - **Option 3: an outcome** - An outcome refers to a single result of a probability experiment. Each draw of a card results in one outcome such as drawing a 3 or a 5. - **Option 4: independent of drawing an odd-numbered card** - This option describes independence, which is not directly relevant to the question about identifying the numbers 1 to 7. - **Option 5: the likelihood principle** - The likelihood principle pertains to the likelihood function in statistics, which is used for inference and not directly relevant to identifying the numbers 1 to 7 in this context. For this question, the correct answer is **Option 1: the sample space**.
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