### 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…

Answered: What type of distribution is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The time to failure (in hours) for a laser in a cytometry machine is modeled by an exponential distribution with the answers to 3 decimal places. (a) What is the probability that the laser will last at least 20675 hours? (b) What is the probability that the laser will last at most 30974 hours? i (c) What is the probability that the laser will last between 20675 and 30974 hours? * = 0.00004. Round
Due to COVID-19, the quantity of local parcel deliveries by ADIX courier service has increased over the months. The company's data analyst claims that the current trend of the number of waiting days for local deliveries follows Poisson distribution 2 days. To verify the claim, he collects new data on the number of local parcel deliveries by the courier for the latest six weeks. The data collected and its associated Poisson probability are shown in Table 3. 1) Based on the new data, will the data distribution be the same as initially claimed by the analyst? 2) In your opinion, does the data provides a good fit to the distribution. Justify your answer.
Suppose that earthquakes occur according to a Poisson process with rate λ = 0.2 per day. (a) What is the probability that there will be 2 or fewer earthquakes in April? (b) Starting from now, what is the probability that the second earthquake will occur within a week?
What is the probability that the total of two randomly chosen numbers exceeds 3, where the first number is chosen from a uniform distribution between 0 and 2, and the second number is selected from an exponential distribution with a mean of 1?
A study is conducted to investigate the association between income level and political party affiliation in the USA. Income level has 5 levels: Lowest (lowest 20-th percentile), low, middle, high, and very high (top 20-th percentile). Political party has 3 categories: Democratic (D), Independent (I), and Republican (R). A baseline category logit multinomial is fit on the 3 response categories using covariate of income level as ordinal (with scores 1, 2, 3, 4, and 5 for the categories lowest, low, middle, high and very high respectively). Base category of response is Independent. The fitted model is log(ˆπD/πˆI ) = 3.3 − 0.2x and log(ˆπR/πˆI ) = 1.0 + 0.3x, where x=1,2,3,4,5 (poverty levels as numeric/ordinal), πD is the probability of being Democrat, πI is the probability of being Independent, and πR is the probability of being Republican. a. Comparing the chances/probability of being Republican to Independent, interpret the effect of income level increases on the odds (of being…
- Use a t-distribution to find a confidence interval for the difference in means μ = μ₁ −μ₂ using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using d = x₁ - x₂. A 90% confidence interval for µå using the paired difference sample results Give the best estimate for μd, the margin of error, and the confidence interval. Enter the exact answer for the best estimate, and round your answers for the margin of error and the confidence interval to two decimal places. Best estimate = Margin of error = i The 90% confidence interval is i to i = 560.7, Sa = 143.6, nd = 100.
Q7) The length of time, in seconds, that a computer user takes to read his or her e- mail is distributed as lognormal random variable with μ = 1.8 and o² = 4. (a) (b) What is the probability that a user reads e-mail for more than 20 seconds? More than a minute? What is the probability that a user reads e-mail for a length of time that is equal to the mean of the underlying lognormal distribution?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

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