#which is an Easier probability problem to solve?

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tiny sluice
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Hi i have a question related to statistics, suppose Y is a random variable which is a function of x, and you have no prior information about the distribution of Y but will try to learn about its properties with a neural network, which of the following tasks should be easier to approximate?

  1. given a value, Z, predict the probability that Y would be less or equal to.
  2. given a probability, P, predict the value that Y would be less or equal to.