Consider problems of encryption key management and distribution. For each of the following scenarios, is public key or private key cryptography more appropriate? Explain (1-3 sentences). a) The Florida Gators football coaches are all communicating over wireless microphones The coaches need to hear and speak with each other, but it is important that play calls not be intercepted by the opposing team. b) A professor wants to communicate securely with a very large number of students over email. It is not acceptable for students to see the professor's communications with other students