Question

he chance of a packet arrival to a distribution hub is 0.17 during each time interval. Let X be the arrival time of the first packet. In this case, what distribution does X have? X follows a: Hypergeometric Distribution, B. Geometric Distribution, C. Negative Binomial Distribution, D. Binomial Distribution.

Answer 1

The arrival time of the first packet, where each time interval has a 0.17 chance of packet arrival, follows a Geometric Distribution.

Step-by-step explanation:

The student is asking about the distribution of the arrival time of the first packet in a given scenario. The chance of a packet arriving during each time interval is 0.17. Since we are interested in the number of trials until the first success (arrival of a packet), the distribution that describes this situation is the Geometric Distribution. This distribution applies when there are repeated, independent trials with the same probability of success, and the variable of interest is the number of trials until the first success.