What is the mathematical definition of a Dynamic Bayesian Network (DBN)? a) A DBN is a probabilistic graphical model that represents a set of random variables and their conditional dependencies over time. b) A DBN is a type of recurrent neural network that uses Bayesian inference to model temporal dependencies. c) A DBN is a type of decision tree that uses Bayesian statistics to make predictions. d) A DBN is a type of clustering algorithm that uses Bayesian methods to group similar data points. Correct answers: a) and b) Explanation: A Dynamic Bayesian Network (DBN) is a probabilistic graphical model that represents a set of random variables and their conditional dependencies over time. It is a type of Bayesian network that models temporal dependencies. The DBN is also known as a type of recurrent neural network that uses Bayesian inference to model temporal dependencies. DBNs are often used in time-series prediction, signal processing, and control systems.