what is a random variable

what is a random variable Prove that a random variable with a random index is a random variable assuming the sample path continuous probably related to stopping time Hot Network Questions In my statement of purpose should I justify a dropped course that I later made up

Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers Random variable Y has mean 0 and variance frac 1 w I am trying to find the distribution of the random variable wY 2

what is a random variable

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what is a random variable
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Mean Of Random Variable Variance Of Random Variable
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begingroup This example ignores the loading of absolute summability in the def n of expected value of a random variable taking countably infinite values Without such loading expected value of a random variable taking countably infinite values doesn t have plausible meaing due to Riemann Rearrangement Thm and irresistant to change How to prove If X and Y are random variables X Y is random variable The question needs to be proved through the definition of random variable

In that sense a random variable is always scalar thus same as a scalar random variable However some sources define a random variable to refer to what I defined here as a random element so in that case a scalar random variable would be what I call here just a random variable a function on the probability space that takes only Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers

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A random variable is defined as a function that maps outcomes to numerical quantities typically real numbers i e X R The domain of a random variable is the set of possible outcomes In the case of the coin there are begingroup I will read it ASAP as for the text sup X n if the text inf case is a random variable then a finite number of intersections which describe the whole distribution space Omega must be a random variable isn t it endgroup

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