Question 1During business hours, the number of calls passing through a particular cellular relay system averages 5 per minute. Suppose that the number of calls passing through this particular cellular relay system during any time interval has a Poisson distribution.Find the probability that only one call passes through the relay system during a given minute.Options:- something else- 0.07115- 0.03368- 0.00491- 0.10292- 0.01322

The average no.of calls passing through a particular cellular system ()= 5 per minute A random…

Answered: During business hours, the number of…

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.) ?
Suppose that the number of traffic accident claims received in a month is modeled by Poisson distribution with intensity λ = 4. Assume that each traffic accident claim takes values $150, $300 or $450 equally likely. Calculate the probability that the total traffic accident claim amounts to exactly $1500.
Suppose 5 students are going to take a test independently from each other and that the number of minutes that any student needs to finish the exam has an exponential distribution with mean 80.If the test starts at 9 a.m., determine the probability that at At least one of the students finishes the exam before 9:40 am.
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.
You and your friends have a large messaging group on GroupMe. The number of messages that are received in the group follows a Poisson distribution with an average of 30 per hour – call this random variable X. Let T be an exponentially distributed random variable that represents the time between messages received. 1. What is the probability that there are between 26 and 35 messages in the next hour? 2. What is the probability that there are exactly 30 messages in the next two hours? 3. What is the average for the variable, T?
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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