39. Two project teams are assigned to upgrade an on-premise data warehouse to a cloud-based data lake in 13 months... The enterprise analytics team cannot move into production until the infrastructure team has completed the migration. What should be used to find the probability that the project will be completed on time?
Answer: C
Conditional probability is the correct approach to find the project's timely completion.
Conditional probability allows us to calculate the probability of the analytics team moving into production given that the infrastructure team has completed the migration. This approach is essential in scenarios where the completion of one task is dependent on the successful completion of another.
A) Multiplication principle
The multiplication principle pertains to the calculation of the total number of outcomes in scenarios where multiple events occur independently. In this case, the project completion is not independent since the analytics team's progress hinges on the infrastructure team's task, making this option incorrect.
B) Bayes' theorem
Bayes' theorem is utilized for updating the probability of a hypothesis based on new evidence. While it deals with conditional probabilities, it is not the most direct method to assess the timely completion of the project in this context, where only the dependency of one event on another is required.
C) Conditional probability
Conditional probability precisely addresses the situation by evaluating the likelihood of the analytics team moving into production contingent upon the infrastructure team's completion of the migration. This makes it the appropriate method to find the probability of the project being completed on time.
D) Combination
The combination refers to selecting items from a larger set without regard to the order of selection. It does not apply to the context of project completion and dependencies between teams, rendering this option irrelevant to the question at hand.
Conclusion
Conditional probability is the definitive choice as it directly addresses the dependency between the two project teams, allowing for an accurate assessment of the likelihood of on-time completion. The other options either misinterpret the nature of the tasks involved or fail to address the conditional dependencies needed to solve the problem effectively.