# Is a combination of binomially distributed random variables also binomially distributed? [closed]

Suppose I have random variable

X = C/(A*B)

where C, A, and B are all independent binomially (but not identically) distributed random variables whose parameters I know. Is X also binomially distributed? What are the parameter values?

Edit: Some clarification due to comments:

1) Suppose we only consider distribution of X for A*B!=0

2) X is non-integer so it is not binomially distributed...

## closed as off-topic by Ben, whuber♦Aug 14 '18 at 12:30

• This question does not appear to be about statistics within the scope defined in the help center.
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• Is X defined when A or B are 0? – Noah Aug 13 '18 at 23:40
• A binomial random variable assumes integer values, x is real and then cannot be binomial distributed – niandra82 Aug 13 '18 at 23:41
• Noah, suppose X is only defined when A and B are non-zero. – Ilya Aug 14 '18 at 0:03
• Your final line seems to be an answer to your own question. You could post it as an answer (or @niandra82 could). – Glen_b Aug 14 '18 at 0:56
• I'm voting to close this question as off-topic because it answers itself. – Ben Aug 14 '18 at 4:56