Final answer:
To calculate the probability of exactly twelve requests during a 5-hour period, one would use the Poisson probability formula with the given average rate of requests per hour over that period. The full solution requires this rate to calculate the exact probability.
Step-by-step explanation:
The question appears to require the computation of the probability that exactly twelve requests are received during a specific time frame, in this case, a 5-hour period. This type of problem typically involves a Poisson distribution or a similar statistical model where events occur independently over a continuous interval. To solve it, one would usually need the average rate of requests per unit time and then use the Poisson probability formula:
P(X=k) = (e^-λ * λ^k) / k!
where:
- X is the number of occurrences (in this case, requests),
- k is the exact number of occurrences we are interested in (here, k=12),
- λ is the average rate of occurrences in the given time frame, and
- e is the base of the natural logarithm (approximately 2.71828).
To provide a precise answer, we would need the average rate of requests (# per hour) during the 5-hour period. Without that, we cannot calculate the exact probability. However, assuming this rate is known, we could apply the formula by inserting the appropriate values and calculating the resulting probability.