Cars arriving for gasoline at a Shell station follow a Poissondistribution with a mean of 5 per hour.A. Determine the probability that over the next hour, only one car willarrive.Probability =%3DB. Compute the probability that in the next 3 hours, more than 27cars will arrive.Probability =

This is poisson process........

Answered: Cars arriving for gasoline at a Shell…

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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Let X denote that number of years I will use my current computer, and Y the number of years that I will use my tablet. The joint distribution of X and Y is as shown below: What is the probability that I will use the tablet for exactly one year? a b Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. с 0.082 e 0.160 0.210 d 0.344 Y 0.400 1 2 3 X 1 2 3 0.05 0.16 0.19 0.10 0.13 0.12 0.07 0.10 0.08
Complaints about an Internet brokerage firm occur at a rate of 4 per day. The number of complaints appears to be Poisson distributed. A. Find the probability that the firm receives 5 or more complaints in a day. Probability = B. Find the probability that the firm receives 10 or more complaints in a 3-day period. Probability =
4. The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 15 minutes. What is the probability that there are no calls within a 30-minute interval?
Cars arriving for gasoline at a Shell station follow a Poisson distribution with a mean of 8 per hour. A. Determine the probability that over the next hour, only one car will arrive. B. Compute the probability that in the next 4 hours, more than 16 cars will arrive.
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?
Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors. Give answer as a decimal. b) Find the probability of more than 4 Mexican-Americans among 12 jurors. Give answer as a decimal.
In statistics test, students finish the test in between 80 minutes, at earliest, and 120 minutes, at latest. What is the probability that the next student will finish the test between 85 and 95 minutes. Assume a uniform distribution..
Suppose you called your local pharmacy to refill a prescription and are put on hold. Assume that the amount of time you will spend on hold is somewhere between 0 and 13 minutes and it follows a uniform distribution. What is the probability you will be on hold for exactly 8 minutes?
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 two or more changes in a day? 0.026 0.287 0.267 None of the choices
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?
K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

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Cars arriving for gasoline at a Shell station follow a Poisson distribution with a mean of 5 per hour. A. Determine the probability that over the next hour, only one car will arrive. Probability = B. Compute the probability that in the next 3 hours, more than 27 cars will arrive. Probability =