The sample space diagram shows there are 6 ways of making a 7, out of a total of 36 possible outcomes. Therefore, the probability of rolling two dice and the sum being 7 is \(\frac{6}{36} = \frac{1}{6 ...

ChatGPT ' can answer questions from humans very naturally. A theoretical physicist and CEO of software company Wolfram Research gives an overview of what's going on inside ChatGPT, how it generates ...

Abstract: A prospect theoretic variant of the Neyman-Pearson (NP) detection problem is proposed for a behavioral (human) decision maker, who perceives distorted versions of the detection and false ...