![]() And I want to think togetherĪbout whether you would classify them as discrete orĬontinuous random variables. So with those twoĭefinitions out of the way, let's look at some actual We're talking about ones thatĬan take on distinct values. In the English language would be polite, or not Guess just another definition for the word discrete Meaning of the word discrete in the English language-ĭistinct or separate values. ![]() Random variables that can take on distinct Random variables, and you have continuous See in this video is that random variables ![]() Tell me if you think this is an okay definition for a continuous variable : "A variable that can have an infinite number of possible values within ANY selected range." So in the zoo example that Sal gives atīit about random variables. Is this variable discrete? I still think it is, but I'm not sure because the definition of discrete and continuous seems a bit vague. Now there are an infinite number of possible outcomes. Like, X = "the square root of a^2 + b^2, where a and b are any two random integers." ![]() Or what if we defined that last example more mathematically and didn't constrain the lengths of sides a and b to 36 combinations? There are only 36 possible lengths of hypotenuse c, but there can be irrational numbers like the square root of 2. Or X = "The length of a hypotenuse c, of a right angle triangle, where the lengths of sides a and b are determined by the roll of two 6 sided dice." Is this a discrete variable? I think it is but I'm not sure. X = "The number of blonde people divided by the total number of people in the elevator in my office whenever the door opens on the 5th floor." This random variable could yield rational numbers like 7/9 that are not integers, but which seem to be discrete. There are a lot of examples of discrete variables which produce integers as data but this doesn't seem to be the definition and I can think of many examples which do not adhere to this. ![]() I'm struggling to find a rigorous definition of discrete vs continuous. ![]()
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