$$Write the following statements in the first$-$order predicate calculus. Use the appropriate$$ symbols for quantifiers and logical operations: $(5$ x $04=20$ marks possible$)$ for AND$$

$$ for OR$$

$$ ~ for NOT$$

$$ for implication$$

a$)$ If it's a sunny day or there are clear skies, then people are enjoying a picnic b$)$ If it's a Tuesday or Thursday and it$$s noon, then the CSCI $3366$ class is in session c$)$ If there is no thunder and it is raining, then people are using umbrellas d$)$ It is not storming in San Antonio right now$$

e$)$ CSCI $3366$ is in session