### Question on Probability Distributions**What type of distribution is appropriate to model the time between two consecutive departures from the gate of an airport?****Options:**1. **Poisson**2. **Binomial**3. **Exponential**4. **Geometric**This question aims to identify the most suitable probability distribution to describe the interval between successive events (i.e., airport gate departures) occurring independently. Ensure you have a firm grasp of the characteristics of each probability distribution to answer effectively:- **Poisson Distribution:** Typically used to model the number of events occurring in a fixed interval of time or space.- **Binomial Distribution:** Generally used to model the number of successes in a fixed number of trials with a constant probability of success.- **Exponential Distribution:** Commonly used to model the time between events in a Poisson process, where events occur continuously and independently at a constant average rate.- **Geometric Distribution:** Often used to model the number of trials up to and including the first success in a sequence of independent Bernoulli trials.### ExplanationThe question involves understanding the time interval between events, fitting the characteristics of the **Exponential Distribution**, which is frequently applied in scenarios involving waiting times between successive events in a Poisson process.

Given probability distributions are Poisson (discrete)Binomial (discrete)Exponential…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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What type of distribution is appropriate to model the time between two consecutive departures from the gate of an airport Poisson Binomial Exponential Geometric