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Q: A discrete random variable can have only certain clearly separated values?
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Is Z with the discrete topology a compact topological space?

A discrete topology on the integers, Z, is defined by letting every subset of Z be open If that is true then Z is a discrete topological space and it is equipped with a discrete topology. Now is it compact? We know that a discrete space is compact if and only if it is finite. Clearly Z is not finite, so the answer is no. If you picked a finite field such a Z7 ( integers mod 7) then the answer would be yes.


A polar molecule is one in which?

In this molecule the electrical charges are clearly separated.


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If it is called the "y-axis", that means it refers to variable "y".


Is age a psychological or social variable?

It is clearly both, or at least it clearly impacts an individual's psychological wellbeing and social experience.


Is birthday a categorical variable?

No, date of birth is an ordinal variable. Ordinal variables are similar to categorical variables except that an ordering of the values is possible. With date of birth there are obviously many possible day/month/year "categories" but they are discrete and can clearly be ordered from highest to lowest or vice versa.A categorical variable might be something like animal type. Each animal type fits into a class, but there's no intrinsic ordering of cow, sheep, pig for example.Date of birth itself is not an interval variable either. It doesn't make a lot of sense to talk about "average date of birth" for example. But of course, date of birth can be convertedto an interval variable (i.e. age) simply by subtracting it from another date (e.g. today's date).


Should the title of a scientific paper be in quotation marks?

No. Just make sure the title is very clearly separated from the text.


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How is mainland used in a sentence?

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Is it the governments resposibility to provide benefits for certain citizens?

This would be a good Lincoln-Douglas debate topic, because the answer is neither clearly "yes" or clearly "no" and ultimately it comes down to a matter of individual opinion.