Which condition is required for a binomial probability model?
Correct answer: D. The trials are independent with fixed success probability
- A. The number of trials is random
- B. Each trial has more than two outcomes
- C. The success probability changes each trial
- D. The trials are independent with fixed success probability
Explanation
A binomial model requires a fixed number of independent trials, two outcomes per trial, and a constant success probability. If the probability changes or trials are dependent, the ordinary binomial model does not apply.
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About Probability and Probability Distributions
Probability covers sample spaces, events, complements, mutually exclusive and independent events, conditional probability, addition and multiplication rules, and tree diagrams. Distributions describe discrete random variables through probability tables, expected value and variance, including binomial and normal models where their conditions and parameters must be identified.
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