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Bernoulli trials are also called as _____ or _____ questions.
  • a)
    positive, negative
  • b)
    natural, whole
  • c)
    yes, no
  • d)
    mutually exclusive, mutually inclusive
Correct answer is option 'C'. Can you explain this answer?
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Bernoulli trials are also called as _____ or _____ questions.a)positiv...
Bernoulli trials is also called a Dichotomous experiment and is repeated n times. Bernoulli trials is also called as a ‘yes’ or ‘no’ questions because it has only two outcomes, those are ‘success’ and ‘failure’.
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Bernoulli trials are also called as _____ or _____ questions.a)positiv...
Bernoulli trials, also known as yes-no or binary trials, are a fundamental concept in probability theory and statistics. These trials involve a series of independent experiments or events that can result in one of two possible outcomes, typically referred to as success or failure, yes or no, or positive or negative. In this context, the correct answer is option C, which states that Bernoulli trials are also called yes or no questions.

Here's a detailed explanation of why option C is the correct answer:

1. Introduction to Bernoulli Trials:
- Bernoulli trials are named after Jacob Bernoulli, a Swiss mathematician who studied probability in the 18th century.
- These trials involve a fixed number of independent experiments, each with two possible outcomes.
- The trials are identical in nature, meaning that the probability of success or failure remains constant for each trial.
- The outcome of each trial does not depend on the outcomes of previous trials, making them independent events.

2. Two Possible Outcomes:
- In Bernoulli trials, the two possible outcomes are often labeled as success (S) and failure (F).
- These outcomes can also be represented as yes (Y) and no (N), positive (+) and negative (-), or any other binary combination.
- For example, in the context of a medical test, a positive outcome may indicate the presence of a disease, while a negative outcome may indicate its absence.

3. Yes or No Questions:
- Bernoulli trials can be thought of as answering yes or no questions, where each trial corresponds to a single question.
- The outcome of the trial determines the answer to the question, with success corresponding to a "yes" answer and failure corresponding to a "no" answer.
- For example, if the question is "Did the student pass the exam?", a success outcome would mean "yes" (the student passed) and a failure outcome would mean "no" (the student did not pass).

4. Importance of Bernoulli Trials:
- Bernoulli trials serve as the foundation for many important concepts and models in probability and statistics.
- They are used to study various phenomena, such as coin flipping, gambling games, medical tests, market research surveys, and more.
- The outcomes of Bernoulli trials can be used to calculate probabilities, estimate parameters, and make predictions in real-world scenarios.

In conclusion, Bernoulli trials are often referred to as yes-no questions because they involve a series of independent experiments with two possible outcomes, which can be interpreted as answering yes or no questions. These trials are fundamental in probability theory and have numerous applications in various fields.
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Bernoulli trials are also called as _____ or _____ questions.a)positive, negativeb)natural, wholec)yes, nod)mutually exclusive, mutually inclusiveCorrect answer is option 'C'. Can you explain this answer?
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