For each of the following assertions, say whether it is true or false
and support your answer with examples or counterexamples where
appropriate.
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An agent that senses only partial information about the state cannot be perfectly rational.
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There exist task environments in which no pure reflex agent can behave rationally.
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There exists a task environment in which every agent is rational.
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The input to an agent program is the same as the input to the agent function.
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Every agent function is implementable by some program/machine combination.
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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.
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It is possible for a given agent to be perfectly rational in two distinct task environments.
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Every agent is rational in an unobservable environment.
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A perfectly rational poker-playing agent never loses.