24.0k views
0 votes
Daniel was recently hired at an electronics store call center that receives thousands of calls each day. Which of the following describes the sampling distribution of x, the number of calls Daniel handles in an hour?

a) Normal distribution

b) Binomial distribution

c) Poisson distribution

d) Exponential distribution

User VirusX
by
8.2k points

1 Answer

5 votes

Final answer:

The correct answer is c) Poisson distribution, which is used for counting the number of events that occur independently with a known average rate in a fixed interval.

Step-by-step explanation:

The sampling distribution of x, the number of calls Daniel handles in an hour at an electronics store call center, is most accurately described by a Poisson distribution. This distribution is often used in scenarios where events occur independently with a known average rate, and the number of occurrences in a fixed interval of time or space can be counted. For example, calls to a call center, emails received per day, or visits to a website are scenarios where Poisson distribution is commonly applied.

Given that we are considering the number of calls handled in an hour, the exponential distribution is not suitable here as it describes the time between events, not the count of events within a given timeframe. The normal and binomial distributions also do not accurately describe this scenario due to the nature of call arrivals, which are more random and can occur at any moment, independently of one another but following a known average rate.

User Svural
by
9.6k points