Final answer:
To determine the uptime for System B when it is dependent on System A, one must multiply the probabilities of uptime for each system. Since System A has an uptime of 98% and System B has an uptime of 99.9%, the combined uptime probability for System B is 97.90%.
Step-by-step explanation:
The question is asking for the combined uptime probability for two interdependent information systems, A and B. The uptime for Information System A is 98%, and the uptime for Information System B is 99.9%. Since System B is dependent on System A, the combined uptime probability requires multiplying the two probabilities together because System B can only operate when System A is up.
To find the combined uptime probability for System B, we calculate 98% of 99.9%:
- Convert the percentages to decimal form: System A (0.98) and System B (0.999).
- Multiply the probabilities together: 0.98 x 0.999 = 0.97902.
- Convert the result back to a percentage (to two decimal places): 97.90%.
Therefore, the probability of uptime for system B, when dependent on system A, is 97.90%.