Determine Which, If Any, of the Three Statements Are Equivalent

question 20

Multiple Choice

Determine which, if any, of the three statements are equivalent.
-I. If it is sunny and the pool is open, then I will go swimming.
II. If I do not go swimming, then it it is not the case that it is sunny or the pool is open.
III. It is sunny and the pool is open, or I will go swimming.

• A) II and III are equivalent
• B) I and III are equivalent
• C) I, II and III are equivalent
• D) None are equivalent

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Definitions:

Probability Density Function

A function that describes the likelihood of a continuous random variable to take on a particular value.

Uniform Distribution

A type of probability distribution in which all outcomes are equally likely within a certain interval.

Exponential Probability Distribution

A probability distribution that describes the time between events in a Poisson process, representing the likelihood of time intervals between events.

Continuous Probability Distribution

A mathematical function that describes the probabilities of all possible values in a continuous random variable.