Final answer:
The contrapositive switches and negates both the hypothesis and the conclusion of the original statement, while the converse and the inverse swap or negate the parts, but neither guarantees the truth of the original conditional's validity.
Step-by-step explanation:
The contrapositive, the converse, and the inverse are logical operations that can be applied to conditional statements. In the case of the statement "If it is snowing, then it is below freezing", the contrapositive is "If it is not below freezing, then it is not snowing". The converse is "If it is below freezing, then it is snowing", and the inverse is "If it is not snowing, then it is not below freezing". It is important to note that the validity of the converse and the inverse is not guaranteed just because the original statement is true.
Similarly, for the statement "If you have the flu, then you miss the mid-exam", the contrapositive would be "If you do not miss the mid-exam, then you do not have the flu". The converse is "If you miss the mid-exam, then you have the flu", and the inverse is "If you do not have the flu, then you do not miss the mid-exam". As with the previous example, the truth of the original statement does not necessarily make the converse or inverse true.