Problem 3.On average there are four traffic accidents in a city during one hour of rush-hour traffic. Use the Poissondistribution to calculate the probability that in one such hour there area) No accidentsb) At least five accidents.

3) According to the given information,Mean number of traffic accidents in a city during one hour of…

Answered: Problem 3. On average there are four…

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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23.
1.A family wishes to adopt 4 pets from a total of 13 dogs and 7 cats available at an animal shelter. The variable "x" being measured is the number of dogs. Show the probability distribution table, using 3 columns: one for x, one for P(x), and one for x*P(x). The second column should show calculations using C(Dt). 2. A student forum at a high school needs to elect 5 people from 10 Grade 11 students and 15 Grade 12 students who are available. The variable"" being measured is the number of Grade 12 students. Show the probability distribution table, using 3 columns: one for x, one for P(x), and one for x*P(x). The second column should show calculations involving C(Dt).
1. Twelve electric bulbs are drawn independently every hour from a production line at a factory. The number of defective bulbs are random and independent. Suppose that the probability that a bulb is defective is 0.06. a. What is the probability that less than two bulbs are defective? b. What is the probability that three bulbs tested are the second defective bulbs detected?
Question 2) Waiting Line Analysis A customer service desk with 1 worker is able to process an average of 9 customer inquiries per hour. An average of 6 customers arrive for help at the desk each hour. c) What is the average time required to serve a customer (in minutes)? d) What is the probability that more than 2 customers will arrive in the next hour?
9. A law firm employs three types of lawyers: junior lawyers, senior lawyers, and partners. During a given year, there is a 0.1 probability that a junior lawyer will be promoted to senior lawyer and a 0.05 probability that he or she will leave the firm. Also, there is a 0.2 probability that a senior lawyer will be promoted to partner and a 0.15 probability that he or she will leave the firm. There is a 0.03 probability that a partner will leave the firm. The firm never demotes a lawyer. th Let Xn be the status of an employee at the n' year after he or she has been hired, it could be one of the three types of lawyers (junior, senior, or partner) or two types of leaving (either leaving as a partner or leaving as a non-partner). Let state 0-junior, state 1-senior, state 2=partner, state 3= leave as non-partner, state 4= leave as partner The (one-step) transition matrix is P = 0.85 0 0 0 0 0.1 0 0.05 0.65 0.2 0.15 0 0.97 0 0 1 0 0 0 0 0 0 0.03 0 1 (a) Use the fundamental matrix method,…
5. A distributed system contains 4 computers. What is the probability of its failure in one year, if probability of failure of the computers in this period are 0.1, 0.2, 0.3, 0.4?
28.) A Certain Blood Group type can be find only in 0.05% of the people. If the population of a randomly selected group is 3000. What is the Probability that at least a people in the group have this rare blood group.
1. An average of 3 cars arrived at a highway tollgate every minute. What is the probability that at most 45 cars will arrive in a quarter of an hour.

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Problem 3. On average there are four traffic accidents in a city during one hour of rush-hour traffic. Use the Poisson distribution to calculate the probability that in one such hour there are a) No accidents b) At least five accidents.