The random number interval assigned to the service time of 5 minutes is d. 0.9000-0.9999 . Therefore , d. 0.9000-0.9999 is correct .
In a queueing system, the random number interval assigned to the service time for a full-service pump with a service time of 5 minutes is determined by a probability distribution.
The distribution is often specified using a random number generator, typically generating values between 0 and 1.
Let's analyze the given answer choices in terms of these random number intervals:
a. 0.0000-0.1999
b. 0.2000-0.4999
c. 0.5000-0.8999
d. 0.9000-0.9999
e. none of the above
If the random number falls within the interval a (0.0000-0.1999), it implies that the service time is less than 0.2 times 5 minutes, i.e., less than 1 minute.
Similarly, for b, the service time is between 1 and 2.5 minutes, for c between 2.5 and 4.5 minutes, and for d between 4.5 and 5 minutes.
Considering that the service time is fixed at 5 minutes, the correct interval would be d. 0.9000-0.9999.
This is because the random number generated would need to be in this range for the service time to be the full 5 minutes.
Therefore, the correct answer is d. 0.9000-0.9999.