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?
Conditional probability should be used to find the probability that the project will be completed on time.
Conditional probability is applicable here because the completion of the enterprise analytics team's work is dependent on the prior completion of the infrastructure team's migration. This relationship defines a scenario where the probability of one event is conditioned on the occurrence of another event, making conditional probability the appropriate choice for this problem.
The multiplication principle is used to determine the total number of outcomes for multiple independent events by multiplying the number of outcomes for each event. In this case, since the completion of the analytics team's work relies on the infrastructure team's progress, the events are not independent. Therefore, the multiplication principle does not apply to this situation.
Bayes' theorem is utilized for updating the probability estimates of an event based on new evidence. While it involves conditional probability, it is not the best fit for this problem as it requires prior probabilities and is typically used for revising beliefs rather than calculating the probability of sequential project dependencies.
The combination is a mathematical concept that calculates the number of ways to choose items from a larger set without regard to the order of selection. This principle does not apply to the context of project completion timelines or dependencies, as it does not deal with probabilities or the sequence of events.
In this scenario, conditional probability is essential for determining the likelihood of the project being completed on time, as it captures the dependency between the two project teams. The analytics team's ability to proceed is contingent on the infrastructure team's successful migration, making conditional probability the most relevant statistical tool for this analysis. Understanding this relationship is crucial for effective project management and planning.
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