The number of MATH310 failures of LIU students in a given section approximately follows a Poisson distribution with mean 5. Then the probability that in a given section at least one student fails the course is approximately equal to: 0.871 O None of these O 0.6065 0.9933

The number of MATH310 failures of LIU students in a given section approximately follows a Poisson distribution with mean 5. Then the probability that in a given section at least one student fails the course is approximately equal to: 0.871 O None of these O 0.6065 0.9933

Name: QuestionThe number of MATH310 failures of LIU students in a given sec
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: QuestionThe number of MATH310 failures of LIU students in a given section approximatelyfollows a Poisson distribution with mean 5. Then the probability that in a given section atleast one student fails the course is approximately equal to:0.871O Non

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...

See similar textbooks

Similar questions

Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company’s office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution with a mean time of 3.2 hours per job and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs. a. What is the average number of jobs waiting for service?b. What is the average time a job waits before the welder can begin working on it?c. What is the average number of hours between when a job is received and when it is completed?d. What percentage of the time is Gubser’s welder busy? choices:a. 89/10b. 4/5c. 121/10d. 89/40
10. The number of students who fail per semester is often modeled as a Poisson random variable. Assume that on the average there are 6 students who fail per sem. d. If exponential distribution can model this system, what is the probability that there will be no failing students right after midterm? Let X denote the time in semesters from the start of the interval until the first failure and that a semester is divided by midterm period.e. Calculate the probability that there will be a failing student within the first semester.f. Calculate the probability that a failing student will be first spotted after midterm up to end of the first semester?
A printer produces errors on a test pattern of 29 pages of text according to a Poisson distribution with a mean of 0.975 per half page. What is probability that more than 1 pages contain errors. Select one: a. 1.00000000 b. 0.41970851 O O c. 1.00000000 O d. 0.58029149 O e. 0.25504510
The author of a book makes an average of 2 typing errors per page. Find the probability that a randomly selected page from the author's book will have 3 errors. Assume the number of errors per page has a Poisson distribution. Below ?e denotes Euler's number,?≅2.718.e≅2.718.
The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per day. What is the probability of no content changes in five days? 0.026 0.267 0.287 None of the choices
3. Football goal scoring events arrive as a Poisson process in a a 90-minute match at a mean rate of 2.7 goals per match. Find the probability that an interval time is less than 30 minutes: (A) 0.0672 (B) 0.4066 (C) 0.5934 (D) 0.9328
.A contractor builds three-unit apartment with construction time follows a normal distribution. Suppose that µ=100 days and o=20 days and the contract called for completion in 125 days and late completion will incur a severe penalty fee. What is the probability of not incurring a penalty fee? * 0.8943 0.8525 0.9125 O 0.9343
The number of large cracks in a length of pavement along a certain street has a Poisson distribution with a mean of 1 crack per 100 m. What is the probability that there will be exactly 8 cracks in a 700 m length of pavement? O A. 0.224 O B. 0.034 O C. 0.130 O D. 0.065
Hits to a high-volume website are assumed to follow a Poisson distribution with a mean of 1200 per day. What is the probability that the number of hits to the website tomorrow will be between 1190 and 1220 (inclusive)?
According to a certain website, the average daily time spent on social networking by internet users worldwide is 145 minutes. Assume the standard deviation is 45 minutes and that the probability distribution is normal. What is the probability that a randomly selected person spends daily at least 3 hours on social networking? Select one: a. 0.7794 O b. 0.2206 c. 0.7823 O d. 0.2177
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 3.2 hours and a standard deviation of 2.3 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs. (a) What is the mean arrival rate in jobs per hour? (Round your answer to four decimal places.) per hour (b) What is the mean service rate in jobs per hour? (Round your answer to four decimal places.) per hour (c) What is the average number of jobs waiting for service? (Round your answer to four decimal places.) (d) What is the average time (in hours) a job waits before the welder can begin working on it? (Round your answer to two decimal places.) h (e) What is the average number of hours between…