I am really confused on the concept ofrandom variable and events here is the que

Question

   I am really confused on the concept ofrandom variable and events here is the question I have Let X denote a discrete random variable whose value are x1, x2... and let B donte an event in the sample space on which Xis defined. Is X2 a random variable I know that is false, but not sure ifthat is an event I know that X is a random variable but not sure if it is aevent I know that "X=x2 is a event but not sure if it is a randomvariable I am not sure about either if E(X) is a random or aevent and I know that B is an event but not sure if it is a randomvariable I would really appreciate help    I am really confused on the concept ofrandom variable and events here is the question I have Let X denote a discrete random variable whose value are x1, x2... and let B donte an event in the sample space on which Xis defined. Is X2 a random variable I know that is false, but not sure ifthat is an event I know that X is a random variable but not sure if it is aevent I know that "X=x2 is a event but not sure if it is a randomvariable I am not sure about either if E(X) is a random or aevent and I know that B is an event but not sure if it is a randomvariable I would really appreciate help

Explanation / Answer

Here are some definitions, I will use a coin toss as anexample A random variable would be something that you want to measure(e.g. the number of heads) An event would be the actual coin flip. -- Let's say you have a different experiment where you flip threecoins and record the outcomes. Then, you could make a random variable (X), and it would havethree values (the outcomes) For example, you could have X = (H, T, T) This is similar to your x1, x2, ...

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