Final answer:
Without specific data, we cannot calculate the snapshot interval or determine the total number of messages in a distributed system. However, we can discuss how causality affects message transmissions and the importance of considering network latency to maintain the consistency of system states.
Step-by-step explanation:
The question revolves around the concept of distributed systems and snapshot algorithms, which is a part of computer and technology studies, particularly in higher education like college. The focus is on understanding the causal relationships of message transmissions in a distributed system. However, the information provided is insufficient to calculate specific values for message intervals or determine the total number of messages. Nevertheless, we can discuss the concepts qualitatively.
a) Impact of Causality on Message Transmission
Causality in distributed systems refers to the relationship between events where one event (the cause) can be considered to have an influence on a subsequent event (the effect). When it comes to message transmission, if an event A causally affects event B, then the message associated with event A must be sent and received before any message associated with event B to maintain the causal order. This ensures the consistency of the distributed system's state.
b) Snapshot Interval
The snapshot interval in the context of this question suggests the time between the snapshot (a record of the system state) and subsequent message transmissions that are causally affected by the snapshot. Without specific data, this cannot be quantified.
c) Total Number of Messages
The total number of messages cannot be ascertained from the information provided.
d) Impact of Network Latency on Message Causality
Network latency can significantly impact the perceived order of events in a distributed system. High latency can delay the transmission of messages, potentially causing message ordering that does not reflect their causal relationships. This can be especially problematic when taking snapshots of the system state, as it might lead to inconsistent or incorrect snapshots if not accounted for properly.