This problem relates to artificial intelligence

For each of the following assertions, answer whether it is true or false and support your answer with examples or counterexamples where appropriate. Use our vacuum domain to construct examples as we discussed in class by providing the PEAS; you may change the task environment as needed. Please make sure to a provide an example that relates to the vacuum cleaner for each assertion. Thanks!

a. An agent that senses only partial information about the state cannot be rational.

b. There exist task environments in which no simple reflex agent can behave rationally (no random actions allowed here).

c. There exists a task environment in which every agent is rational.

d. Suppose an agent selects its action uniformly at random from the set of possible actions. There exists a deterministic task environment in which this agent is rational.

e. Every agent is rational in an unobservable environment.

A B