The number of road construction projects that take place at any one time in a certain cityfollows a Poisson distribution with a mean of 4.1. Find the probability that exactly 12 roadconstruction projects are currently taking place in this city.Answer:

Answered: The number of road construction…

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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A sample of a radioactive material is studied in a lab. There are 741 gamma ray emissions over 130 seconds. Use the Poisson distribution to find the probability that 1 or fewer gamma rays are emitted in a given second. Do not round intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.) ?
Assume that your aunt wrote 139 letters to her family members in 2019. Let the random variable x represent the number of these letters that she wrote on a given day. Assume also that this scenario has a Poisson distribution. What is the mean number of letters written per day? Round to 3 decimal places. What is the standard deviation? Round to 3 decimal places.
In a busy highway on the average 5 accidents happen per week. What is the probability that there will be no accidents next week? Assume that the number of accidents has a Poisson distribution.
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.
In a recent year, Professor Thompson wrote 195 checks. Find the probability that on a randomly selected day, he wrote at least one check. (Hint: Use the Poisson distribution)
Officer Thompson of the Bay Ridge Police Department works the graveyard shift. He averages 4.5calls per shift from this dispatcher. Assume the number of calls follows a Poisson distribution. Find theprobability that Officer Thompson get fewer than 2 calls in a shift.
Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute:Find the probability of 8 customers or less arriving within a minute. Find the probability of more than 7 customers arriving within a minute. Find the probability of 3 customers arriving within a minute.
In a recent year, an author wrote178checks. Use the Poisson distribution to find the probability that, on a randomly selected day, he wrote at least one check what is the probability SHARE

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The number of road construction projects that take place at any one time in a certain city follows a Poisson distribution with a mean of 4.1. Find the probability that exactly 12 road construction projects are currently taking place in this city. Answer: