How do you find the value of random variables?
Answers
A random variable has a probability distribution that represents the likelihood that any of the possible values would occur. Let's say that the random variable, Z, is the number on the top face of a die when it is rolled once. The possible values for Z will thus be 1, 2, 3, 4, 5, and 6.
Answer:
You find the values of a random variable by observing the variable, but understand that you have one realization of the random variable — you haven’t captured the full distribution.
The name random variable is really an oxymoron. Random variables are neither random nor are they variables. A random variable is a (Borel-measureable) function from a sample space into (the real) numbers. If you don’t understand the phrases in parentheses, don’t worry. The key idea is this: there is a sample space (where things happen) and a random variable is a function that maps values from the sample space into a set of numbers.