Logic: Question 1: The propositional variables, p, q, and s have the following truth assignments: p = T, q = T, s = F. Give the truth value for each proposition. (a) p V q (b) (p ^ (q^ s)) Question 3: Consider the following pieces of identification a person might have in order to apply for a credit card: B: Applicant presents a birth certificate. D: Applicant presents a driver's license. M: Applicant presents a marriage license. Write a logical expression for the requirements under the following conditions: (a) The applicant must present either a birth certificate, a driver's license or a marriage license. (b) The applicant must present at least two of the following forms of identification: birth certificate, driver's license, marriage license. Question 4: Which of the following conditional statements are true and why? (a) If February has 30 days, then 7 is an odd number. (b) If January has 31 days, then 7 is an even number. Question 5: State the inverse, contrapositive, and converse of each conditional statement. Then indicate whether the inverse, contrapositive, and converse are true. (a) If 3 is a prime number then 5 is an even number. (b) If 7 < 5, then 5