Which of the following conditions do Bernoulli trials satisfy?a)finite...
Bernoulli trials satisfies the finite number of independent trials .
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Which of the following conditions do Bernoulli trials satisfy?a)finite...
Finite number of independent trials
- Bernoulli trials satisfy a finite number of independent trials.
- In Bernoulli trials, each trial is considered to be independent of each other.
- The outcome of one trial does not affect the outcome of another trial.
- The trials have a fixed probability of success (p) and failure (q), which remains constant throughout all trials.
- Examples of Bernoulli trials include coin tosses, where the probability of getting heads or tails remains the same for each toss.
- The trials are usually binary, meaning there are only two possible outcomes for each trial (success or failure).
- The trials are considered to be identical in terms of their setup and conditions.
Explanation
Bernoulli trials satisfy a finite number of independent trials because each trial is assumed to be independent of each other, with a fixed probability of success and failure. This condition allows for the application of Bernoulli's theorem, which is essential for calculating probabilities in various statistical and probabilistic problems. By following this condition, Bernoulli trials can be accurately modeled and analyzed to make predictions and decisions based on the outcomes of the trials.