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 13?0.029☑(b) What is the probability that the number of drivers will exceed 29?0.168(c) What is the probability that the number of drivers will be between 13 and 29, inclusive?0.938What is the probability that the number of drivers will be strictly between 13 and 29?0.909(d) What is the probability that the number of drivers will be within 2 standard deviations of the mean value?0.979 Sharing: Theory and Practice"+). (Round your answerto three decimal places.) (a) What is the probability thatthe number of drivers will be at most 13? (b) What isthe probability that the number of drivers will exceed29? (c) What is the probability that the number ofdrivers will be between 13 and 29, inclusive? What isthe probability that the number of drivers will be strictlybetween 13 and 29? (d) What is the probability thatthe number of drivers will be within 2 standarddeviations of the mean value?

The provided information is as follows:The number of drivers who travel between a particular origin…

Answered: Suppose that the number of drivers who…

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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Customers arrive to a local bakery with an average time between arrivals of5 minutes. However, there is quite a lot of variability in the customers’ arrivals, asone would expect in an unscheduled system. The single bakery server requires anamount of time having the exponential distribution with mean 4.5 minutes to servecustomers (in the order in which they arrive). No customers leave without service.e. What is the probability that there are fewer than two customers in the bakery?
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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
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
2. An automobile battery manufacturer claims that its midgrade battery has a mean life of 50 months with a standard deviation of 6 months. Suppose the distribution of battery lives of this particular brand is approximately normal. On the assumption that the claims are true, find the probability that a randomly selected battery of this type will last less than 48 months. (Use the software link for every question) (a) Let X = number of months a battery will last. Write the question above in terms of this variable X (b) Find the probability that a single battery of this type will last less than 48 months. (c) Find the probability that the mean of a random sample of 36 batteries will be less than 48 months. (d) Why do you think the values from part (b) and part (c) are different? Explain.
The number of corner kicks in a 90 minute soccer game follows a Poisson distribution with a mean of 5. Then, the probability that there will be 3 corner kicks in 45 minutes is
The average number of collisions in a week during the summer months at a particular intersection is 2. Assume that the requirements of the Poisson distribution are satisfied. What is the probability that there will be exactly one collision in a week?
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 = 20 (suggested in the article "Dynamic Ride Sharing: Theory and Practice). (Round your answer to three decimal places.) (a) What is the probability that the number of drivers will be at most 14? 0.039 X (b) What is the probability that the number of drivers will exceed 27? (c) What is the probability that the number of drivers will be between 14 and 27, Inclusive? What is the probability that the number of drivers will be strictly between 14 and 277 (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. Need Help? Reed It
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…
What do i specifically put in the box as p(x)=

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