Asked by Sandtaner M. Anthony on Sep 28, 2024
Verified
Which of the following can have an exponential distribution?
A) Time between phone calls coming in to a technical support desk.
B) Time until the first customer arrives at the bank in the morning.
C) Lifetime of a new battery.
D) All of these choices are true.
Exponential Distribution
A continuous probability distribution that describes the times between events in a Poisson process, representing a constant hazard rate.
- Gain an understanding of the fundamentals and properties associated with exponential distribution.
- Utilize the exponential distribution in real-world scenarios such as service times and interarrival times.
Verified Answer
KZ
Katrina Zhangabout 12 hours ago
Final Answer :
D
Explanation :
The exponential distribution is often used to model the time between events in a Poisson process, which is a process where events occur continuously and independently at a constant average rate. All the given options (A: Time between phone calls, B: Time until the first customer arrives, C: Lifetime of a new battery) can be modeled as Poisson processes, where the time between events (phone calls, customer arrivals, or battery failures) follows an exponential distribution.
Learning Objectives
- Gain an understanding of the fundamentals and properties associated with exponential distribution.
- Utilize the exponential distribution in real-world scenarios such as service times and interarrival times.
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