Sure, here is the transcription of the image for an educational website:---**Problem 8: Statistical Analysis of EMS Usage**Lincoln County EMS is utilized on average 500 times over the course of a year. The number of times Lincoln County EMS is used on a given day can be modeled with a Poisson Distribution.**A. What is the Expected number of times used by Lincoln County EMS in a given day?****B. What is the Probability of 0 times needed on a given day?** (Round to the nearest hundred thousandth)**C. Find the probabilities for the following:**- P(1 time used)- P(2 times used)- P(3 times used)- P(4 times used)- P(5 times used)Round each to the nearest hundred thousandth.---This problem illustrates the application of the Poisson Distribution to model daily service requests for emergency medical services.

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Answered: Lincoln County EMS is used on average…

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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An Internet celebrity video has an average of 9,000 people watching every day. Try to calculate the probability that no one watches the video for 1 minute using the Poisson distribution and the index distribution respectively.
A bank received on average 9 bad cheques per day. What is the probability that the bank will receive 3 bad cheques on any given day. Hint: Use poisson distribution
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
A county has been experiencing a mean of 33.8 motor vehicle deaths each year. Use the Poisson distribution to answer the following. a. Find the mean number of deaths per day. b. Find the probability that on a given day, there are more than 2 motor vehicle deaths. c. Is it unusual to have more than 2 motor vehicle deaths on the same day? Why or why not? a. The mean number of deaths per day is (Round to three decimal places as needed.)
do a , b, c
Power failures occur at an electric plant on average 3 times per year. If we can assume this follows a Poisson distribution, answer the following questions. a. What is the probability that there are 4 power failures in 2021? b. What is the probability that there are no more than 2 power failures in a given year? c. How likely is it that there are at least 3 power failures next year?
The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per day. What is the probability of no content changes in five days? 0.026 0.267 0.287 None of the choices
A. Recent crime reports indicate that 0.5 motor vehicle thefts occur each minute in an industrial area. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution. i. What is the average number of motor vehicle thefts occurring in five minutes? ii. Find the probability exactly three motor vehicle thefts occur in five minutes. Note: 1.Please clear answer no (i,ii) 2. No need excel formula.
On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail you receive each day follows the Poisson distribution What is the probability of receiving more than three pieces of junk mail today? O a. 0.2939 O b. 0.2639 O c. 0.2693 d. 0.2369
Q3. A 10-year record of tornadoes per year to land in a particular region is 2, 2, 1, 3, 2, 1, 0, 2, 3, and 1. Using Poisson's distribution, what is the probability of not having tornados in any 1 year? What are the average of the number of tornadoes in 1 year?
The weekly demand for an item in a retail store follows a uniform distribution over the range of 60 to 70. What would be the weekly demand if its corresponding computer-generated random number is 0.19? (Round your answer to one decimal place)
The random variable x represents the number of emails a student receives on a day. Assume it has a Poisson distribution with a mean of 14.3 emails. Find the probability that in a random day the student receives 3 emails. Round your answer to four decimal places.

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