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Is a strictly monotonic function absolutely continuous?
No, they can only be jump continuous.
What is continuous variate?
A variable defined on a continuous interval as opposed to one that can take only discrete values.
Difference between discrete and continuous?
A continuous variable is one that can take any value within an interval (or a set of intervals). A discrete variable is one that can only take certain values.Some further notes:* Often a discrete variable takes integer values, but that is not necessary.* Neither discrete nor continuous variables need be limited to a finite number of possible values.* Frequently, continuous variables are continuous only in principle, and the measuring instruments or recording make them discrete. Eg your height is continuous but as soon as it is recorded as 1.75 cm or 5'9", it is made discrete.
Is the binomial distribution is a continuous distribution?
No it is a "discrete" distribution because the outcomes can only be integers.
What is the difference between a discrete and a continuous probability function?
A discrete random variable (RV) can only take a selected number of values whereas a continuous rv can take infinitely many.
