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In a certain country:

10% of the families have no children

20% of the families have 1 child

30% of the families have 2 children

40% of the families have 3 children

one child is randomly chosen from all the children in the country.

X is a random variable whose value is the number of brothers/sisters said sampled child has.

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What is the probability function of X?

notes:

1 - the underlines are from the original test question

2 - let me know if you want to see my answer against that of my professor. I thought it might be better to see how you answer without any former bias - but i might be mistaken about that(too? :< )

Thanks!