High School Solving a RNG Problem: What is the Expected Value of N?

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The discussion centers on determining the expected value of N in a random number generator (RNG) scenario where an integer is picked uniformly from 1 to N, and a specific value (e.g., 4) is observed. The main inquiry is whether there is a specific name for this type of problem, where the parameters of the RNG are unknown and need to be estimated. The German tank problem is referenced as a related concept, highlighting its relevance in estimating population sizes based on sampled data. The thread emphasizes the mathematical approach to solving such estimation problems. Understanding the expected value in this context is crucial for applications in statistics and probability theory.
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A RNG picks an integer uniformly from 1 to N. It picks 4. What is the expected value of N?
Hey all,

So this time I have a different kind of question - namely, "what is this called?"
I recall hearing/reading this in at least two places, one of which was YouTube. The idea is the following:
A RNG picks an integer uniformly from 1 to N. It picks 4. What is the expected value of N?
I'm pretty sure I know how to solve this problem. My question is the following: Is there a name for this problem, or problems like it? Where the parameters of the random number generator are the thing you're trying to determine?

Cheers,
QM
 
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