why are random variables important 
random variables produce probability distributions based on experimentation observation or some other data generating process random variables in this way allow us to understand the world around us based on a sample of data by knowing the likelihood that a specific value will occur in the real world or at some point in the future the bottom linerandom variables whether discrete or continuous are a key concept in statistics and experimentation because they are random with unknown exact values these allow us to understand the probability distribution of those values or the relative likelihood of certain events as a result analysts can test hypotheses and make inferences about the natural and social world around us 