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 at 12:30

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  • 2
    Is X defined when A or B are 0? – Noah Aug 13 at 23:40
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    A binomial random variable assumes integer values, x is real and then cannot be binomial distributed – niandra82 Aug 13 at 23:41
  • Noah, suppose X is only defined when A and B are non-zero. – Ilya Aug 14 at 0:03
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    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 at 0:56
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    I'm voting to close this question as off-topic because it answers itself. – Ben Aug 14 at 4:56

A binomial random variable assumes integer values, x is real and then cannot be binomial distributed

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