I have model with 20 genes which can take on a value of 1 or 0 (the alleles). What is their expected value and variance assuming the alleles are selected with equal probability?

Is this just a binomial distribution?

  • 2
    $\begingroup$ You need to know whether those genes take on the values independently. Is that the case or not? $\endgroup$
    – whuber
    Mar 25, 2020 at 18:26
  • $\begingroup$ Yes, their values are assigned independently $\endgroup$
    – adkane
    Mar 25, 2020 at 18:44

1 Answer 1


Yes, assuming independence and equal probabilities, this is just the binomial distribution. So the number of alleles of value 1 is $X\sim \mathcal{Binom}(20,p)$.


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