Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 (suggested in the article "Dynamic RideSharing: Theory and Practice"+). (Round your answer to three decimal places.)(a) What is the probability that the number of drivers will be at most 10?0.011(b) What is the probability that the number of drivers will exceed 26?(c) What is the probability that the number of drivers will be between 10 and 26, inclusive?What is the probability that the number of drivers will be strictly between 10 and 26?(d) What is the probability that the number of drivers will be within 2 standard deviations of the mean value?You may need to use the appropriate table in the Appendix of Tables to answer this question.

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Answered: Suppose that the number of drivers who…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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57. Discuss the applications of Poisson distribution.
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The number of earthquakes per day in the world has a Poisson distribution with parameter ?= 55. Suppose that the random variable X is the number of earthquakes occurring in one day in the world. Let the random variable Y be the total number earthquakes occurring in the world in 3 days. The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time.a. For our model, what is expected value of X? b. What is the probability that X = 55? c. What is the probability that X > 55? d. What is the probability that X >60? e. What is the smallest value C so that there is at least a 0.9 probability of no more than C earthquakes in a day? f. Y also has a Poisson distribution. What is the parameter ?y for Y? g. What is the standard deviation of X? h. What is the probability Y =164? i. What is the probability that Y < 164? j. What is the probability that X>60 given that X>55?
Q1. Please answer the question with details.
The mean number of customers arriving at a service station during the 25-minute period is 5. Find the probability that 3 or more customers will arrive at the service station during a 25-minute period. Assume that the service system can be modeled as a Poisson distribution
The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. For a 5-minute period, Find the expected value and standard deviation. What is the probability that 2 customers will arrive in a 5-minute period? What is the probability that no more than 2 customers will arrive in a 5-minute period? What are the underlying assumptions that allow us to consider this phenomenon as a Poisson distribution?
E The number of accidents occurring in a plant in a month follows Poisson distribution with mean as 5.2. The probability of occurrence of less than 2 accidents in the plant during a randomly selected month is
8. Final: For recent period of 100 years, there were 530 Atlantic hurricanes. Assume the Poisson distribution is a suitable model, find the probability that less than 3 hurricanes in a randomly selected year. O a. .1901 O b. None of the above O C. .2075 O d. .3701 O e..1016 日田

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What do i specifically put in the box as p(x)=
(c) Does this Poisson distribution provide a good model for the number of accidents in this example (as per Table 1)? Explain why or why not. Use R to produce a graph to help support your answer (produce the R as part of your answer). (d) Use the model in (b) to estimate the probability that less than 2 accidents were recorded in any randomly chosen week. How does this compare to the actual data?
Course: StatisticsA study conducted on the number of vehicles arriving per hour at a toll booth established the following results: The mean number of vehicles arriving per hour is 39, the standard deviation is 6 vehicles per hour, the proportion of trucks with respect to the total number of vehicles passing through the toll booth is 12%, according to these data, which one or ones are necessary to establish a Poisson distribution to measure the estimated number "X" of vehicles per hour?I. The average of 39 vehicles per hour.II. The standard deviation of 6 vehicles per hour.III. The ratio of 12% trucks. Select one:a. Only Ib. Only II.c. Only III.d. I and II.e. I and III.

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