Question
What are the four requirements for a probability experiment to be a binomial experiment? Choose from the list below.
The outcomes are independent of each other.
The probability of a success does not remain the same in each case.
The outcomes are dependent on each other.
The probability of a success remains the same in each case.
Each trial has more than two outcomes.
There are two trials.
Each trial has only two outcomes.
There is a fixed number of trials.
There is an unlimited number of trials.
The outcomes are independent of each other.
The probability of a success does not remain the same in each case.
The outcomes are dependent on each other.
The probability of a success remains the same in each case.
Each trial has more than two outcomes.
There are two trials.
Each trial has only two outcomes.
There is a fixed number of trials.
There is an unlimited number of trials.
Answers
GPT-4o mini
For a probability experiment to be classified as a binomial experiment, it must satisfy the following four requirements:
1. **The outcomes are independent of each other.**
2. **The probability of a success remains the same in each case.**
3. **Each trial has only two outcomes.**
4. **There is a fixed number of trials.**
These criteria ensure that the binomial experiment adheres to the framework needed for binomial probability calculations.
1. **The outcomes are independent of each other.**
2. **The probability of a success remains the same in each case.**
3. **Each trial has only two outcomes.**
4. **There is a fixed number of trials.**
These criteria ensure that the binomial experiment adheres to the framework needed for binomial probability calculations.
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