Question

Develop an algorithm for generation a random sample of size N from a binomial random variable...

  1. Develop an algorithm for generation a random sample of size N from a binomial random variable X with the parameter n, p.

[Hint: X can be represented as the number of successes in n independent Bernoulli trials. Each success having probability p, and X = Si=1nXi , where Pr(Xi = 1) = p, and Pr(Xi = 0) = 1 – p.]

(a) Generate a sample of size 32 from X ~ Binomial (n = 7, p = 0.2)

(b) Compute the sample mean and variance

(c) Make a histogram of the sample of part (a) and compare it with the theoretical probability density function of X.

Math   Statistics-And-Probability   
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Answer #1

the Histogram based on sample values ( empirical probability )and theoretical probability distribution is nearly same .

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