Q18Section I (Objective (Q1–Q80))18 of 80

Distribution Theory — checking binomial distribution properties

Consider the following statements: 1. Binomial distribution with mean $a>0$ and variance $b>0$ is such that $\frac{a^2}{(a-b)^2}$ is an integer. 2. Binomial distribution with mean 3.5 and variance 1.75 is bimodal. 3. For a binomial distribution, with mean and variance equal to 4 and $\frac43$ respectively, $P(X\ge1)>0.99$ . 4. Sum of two independent binomial variates is a binomial variate. Which of the above statements are correct?

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