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Answer:
Jacob should take the normal route
Step-by-step explanation:
The given parameters are;
How late is Jacob running for work = 5 minutes
The number of times Jacob has taken the alternative route to work = 16 times
The number of times Jacob has taken the normal route to work = 27 times
The number of times Jacob has been late when he takes the alternative route to work = 8 times
The number of times he has been on-time = 3 times
The number of times he has been early = 5 times
By taking the normal route;
The number of times he has been late = 9 times
The number of times he has bee on-time = 12 times
The number of times he has been early = 6 times
Therefore, we have;
The probability that Jacob will be on-time or early when he takes the alternative route. P(A) = (3 + 5)/16 = 0.5
The probability that Jacob will be on-time or early when he takes the normal route, P(N) = (12 + 6)/27 = 0.
Therefore, given that the probability that Jacob will arrive on-time or early when he takes the normal route is higher than the probability when he takes the alternative route, Jacob should take the normal route.