Using letters for the component statements, translate the following compound statements into symbolic notation and provide a truth table for each. 1. Roses are red and violets are blue 2. Roses are red and either violets are blue or sugar is sweet 3. Either it will rain or snow, but not both 4. If Jane wins or if Jane loses, Jane will be tired. 5. If the program halted, then the message was corrupted or the connection was ended