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"A Random Variable is NOT Random and NOT a Variable"

What is a random variable? Why do some people say "its not random and its not a variable"? What is "expected value"? What is the difference between a random variable and a probability distribution? An example where you can do the problem two ways either with probability distributions or with pure random variables See also notes at https://publish.obsidian.md/nicam/Int... Chapters: 0:00 Are random variables random? 0:55 Example sum of two dice 2:40 A random variable is a collection of events 5:52 A random variables is a FUNCTION 8:49 Level sets of the function are events 10:12 How to use it as a variable 11:50 Definition of Expected Value 13:30 Linearity of Expectation 14:30 Probability Distribution vs A Random Variable 18:10 Two different formulas for the expected value 21:44 Expected value of binomial random variable example with two solutions 23:00 Solution 1 Probability Distribution Solution 25:34 Solution 2 Random Variables Only Solution