Asked by Angelique Ventura on Jun 09, 2024

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Experiments with repeated independent trials will be described by the binomial distribution if​

A) ​the trials are continuous.
B) ​each trial result influences the next.
C) ​the time between trials is constant.
D) ​each trial has exactly two outcomes whose probabilities do not change.

Binomial Distribution

A probability distribution that summarizes the likelihood that a variable will take one of two independent values under a given set of parameters or conditions.

Independent Trials

Independent Trials are experiments or processes in which the outcome of any given trial does not affect the outcome of any other trial.

  • Evaluate the probabilities associated with binomial trials.
  • Distinguish between the attributes of diverse probability distributions, like binomial, Poisson, and hypergeometric.
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RM
Rodolfo Marzan IIIJun 14, 2024
Final Answer :
D
Explanation :
The binomial distribution applies when each trial has exactly two possible outcomes (e.g. success or failure), and the probability of each outcome does not change from trial to trial. The other options do not apply to the binomial distribution. Continuous trials would be modeled using a different distribution, such as a normal distribution. Trials where each result influences the next would not be independent and would require a different approach to modeling. The time between trials being constant is not a factor in the binomial distribution.