In one year, there were 174 homicide deaths in a certain city. For a randomly selected day, use the Poisson distribution to find the probability ofthe following numbers of homicide deaths.а. Оb. 1с. 2d. 3е. 4...

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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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Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 153 homicides. After finding the mean number of homicides per city-year, find the probability that a randomly selected city-year has the following numbers of homicides, then compare the actual results to those expected by using the Poisson probabilities: Homicides each city-year а. О b. 1 с. 2 d. 3 е. 4 Actual results 162 89 24 4 1 a. P(0) = (Round to four decimal places as needed.) b. P(1) =D (Round to four decimal places as needed.) c. P(2) = (Round to four decimal places as needed.) d. P(3) = (Round to four decimal places as needed.) e. P(4) = (Round to four decimal places as needed.) The actual results consisted of 162 city-years with 0 homicides; 89 city-years with one homicide; 24 city-years with two homicides; 4 city-years with three homicides; 1 city-year with four homicides. Compare the actual results to those expected by using the Poisson probabilities. Does the Poisson…
The number of substances produced by a radioactive breakdown shows a Poisson distribution with a mean of 25. Use the Poisson distribution to find the probability that the number of substances occurring in 1 second is between 23 and 27.
The author of a book makes an average of 2 typing errors per page. Find the probability that a randomly selected page from the author's book will have 3 errors. Assume the number of errors per page has a Poisson distribution. Below ?e denotes Euler's number,?≅2.718.e≅2.718.
Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.
Suppose the amount of gasoline sold daily at a service station is uniformly distributed with a minimum of 1571 gallons and a maximum of 8154 gallons. What is the probability that daily sales will fall between 1951 gallons and 4845 gallons?
Solve step by step in digital format 9.- Suppose we are investigating the safety of a very dangerous cruise ship. Police records indicate an average of 5 accidents per month on it. The number of accidents is distributed according to the Poisson distribution, and the Highway Safety division wants to calculate the probability that exactly 1 accident will occur in a given month.
Suppose a dresser drawer has blue shirts, yellow shirts, red shirts, and green shirts so that if a shirt is pulled from the drawer at random, each color has an equal chance of being drawn. P(Green) = P(Blue) = P(Red) = P(Yellow) = ¼. Complete parts (a) – (d) to create a probability distribution for the number of yellow shirts if two shirts are pulled from the drawer at random (replacing the shirt after each draw). a. List each possible outcome for the colors of the shirts if two shirts are drawn randomly from the drawer. The teacher said there should be total of 16 outcomes, not 9 or 10. In my original answer, I have 10 outcomes when there should be 16. c.Find the probability of each event (not the probability from each outcome) from part (b). For my first answer, I had the probability of each outcome, and I should have the probability of each event.
A shipment of 10 similar microcomputers to a retail outlet contains 4 that are defective. If a school makes a random purchase of 3 of these computers, find the probability distribution for the number of defectives.
Be a cafeteria with only one attendant. The rate of customer arrivals follows a Poisson process with an average of 10 customers per hour. The service time is exponentially distributed with an average time of 4 minutes. What is the probability of forming a queue, the average queue length and the average waiting time in the queue?

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In one year, there were 174 homicide deaths in a certain city. For a randomly selected day, use the Poisson distribution to find the probability of the following numbers of homicide deaths. а. О b. 1 с. 2 d. 3 е. 4