Question

If I sum a binomial random variable with n=5 and p =0.3 and a binomial random...

If I sum a binomial random variable with n=5 and p =0.3 and a binomial random variable with m=10 and p =0.5, I get

Select one:

a. Something unfamiliar to us as yet

b. A normal distribution

c. A binomial random variable with number of Bernoulli trials =15 and p =0.4

d. A Binomial with number of Bernoulli trials =15 and p=0.4

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Answer #1

a. Something unfamiliar to us as yet

The binomial distributions add to for another binomial distribution if the probability of success, p is same for both distributions that are to be added. here, p is different for the two binomial random variables and hence it forms some discrete distribution which cannot be classified as any of the option given here.

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