| I tried something on ChatGPT 3.5 a couple months ago: "Here is a probability mass function: p(0) = 0.1 p(1) = 0.2 p(2) = 0.5 p(3) = 0.2 and p(x) = 0 for x < 0 or x >3 Call this the XYZ distribution.
Generate 20 numbers from the XYZ distribution." "Certainly! The XYZ distribution you've described has a discrete probability mass function (PMF). Here are 20 random numbers generated from the XYZ distribution based on the given probabilities: [results w/ three 0s, four 1s, ten 2s, three 3s] These numbers are generated based on the probabilities you provided, and they satisfy the conditions of the XYZ distribution. The distribution is discrete, and each number has the specified probability of occurring." I didn't do any real statistical testing but the one answer sure looked right. It was also able to give me the CDF of the XYZ distribution but I was less surprised by that as it's a simple textbook exercise ChatGPT would have read many times. |