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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.


Which variable is plotted along the y-axis of the graph?

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


What is a operational variable?

An operational variable is a variable that is defined and measured in a specific and observable way so that it can be clearly understood and used in research or study. It helps to ensure that data collected is consistent and allows for accurate comparisons and analysis.


Why in a experiment only one variable should be changed?

Changing only one variable in an experiment allows researchers to clearly determine the effect that variable has on the outcome. If multiple variables are changed, it becomes difficult to identify which variable is responsible for the observed results. This helps to ensure that the results are reliable and can be accurately interpreted.


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).


What is the definition of definite?

Clearly defined and explicitly precise. Also, known for certain


What should have only one independent variable?

An experiment is designed to have only one independent variable at a time in order to clearly identify and understand its effect on the dependent variable. This helps to avoid confusion and ensures that any observed changes in the outcome can be attributed to the single independent variable being tested.


Why do we only change one variable at time?

Changing only one variable at a time in an experiment allows us to clearly identify the effect of that specific variable on the outcome. By isolating variables, we can determine causality and understand the relationship between the variable being tested and the results observed. This approach helps in drawing reliable conclusions and making accurate predictions.


Why does an investigator change only one variable in an experiment?

Changing only one variable allows the investigator to clearly determine the effect that particular variable has on the outcome of the experiment. This helps in establishing a cause-and-effect relationship between the variable being tested and the observed result. Manipulating multiple variables simultaneously can introduce complexity and confound the results, making it harder to draw accurate conclusions.


Which variable goes on the x-axis?

Usually the independent one, but you're free to draw the graph any way you want, as long as you label it clearly.


When graphing you should usually put the what on the what axis?

You should usually put the independent variable on the x-axis (horizontal) and the dependent variable on the y-axis (vertical). This helps to clearly show the relationship between the two variables being plotted.