Mathematics · Probability Distributions
Which of the following statements regarding the Binomial and Poisson distributions are CORRECT? I. The Binomial distribution models the number of successes in n independent Bernoulli trials, where each trial has exactly two possible outcomes. II. The expected value of a Poisson distribution is equal to λ, while its variance is equal to λ. III. For a Poisson distribution, if the average rate λ is an integer, the distribution has two modes: λ and λ - 1. IV. The sum of two independent Poisson random variables follows a Poisson distribution with a parameter equal to the sum of their individual parameters. Choose the most appropriate answer from the options given below:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1I, II and IV Only
- 2I, III and IV Only✓
- 3II, III and IV Only
- 4I, II and III Only
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I, III and IV Only
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