Compute the distribution of X+Y in the following cases: X and Y are independent binomial random variables with parameters (n,p) and (m,p).

Bevan Mcdonald

Bevan Mcdonald

Answered question

2021-05-23

Compute the distribution of X+Y in the following cases:
X and Y are independent binomial random variables with parameters (n,p) and (m,p).

Answer & Explanation

odgovoreh

odgovoreh

Skilled2021-05-24Added 107 answers

xB(n,p)
YB(m,p)
X and Y are independent.
so,
B(n,p)+B(m,p)B(n+m,p)
so,
X+Y follows binomial distribution.
(X+Y)B(n+m,p)

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