The service time for an application is modelled as an=5 perexponential random variable with parameter 2hour, independent and identically distributed for allapplicants.i.11.Determine the probability that the servicecan accommodate 50 applicants within eighthours.Determine thethe maximum number ofapplicants such that the chance ofaccommodating all of them within eighthours is at least 95%.

Given that the service time for an application is modelled as an exponential random variable with…

Answered: The service time for an application is…

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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ABC Manufacturing Company had manufactured a batch that has 600 parts. 30 parts do not conform to client's requirements. If two parts are selected at random, without replacement, from the batch. Let the random variable X equal the number of nonconforming parts in the sample. Determine E(x) and V(x). Upload Choose a File
The probability that a person in the United States has type B+ blood is 8%. Five unrelated people in the United States are selected at random. Complete parts (a) through (d). (a) Find the probability that all five have type B+ blood. The probability that all five have type B+ blood is nothing. (Round to six decimal places as needed.) (b) Find the probability that none of the five have type B+ blood. The probability that none of the five have type B+ blood is nothing. (Round to three decimal places as needed.) (c) Find the probability that at least one of the five has type B+ blood. The probability that at least one of the five has type B+ blood is nothing. (Round to three decimal places as needed.) (d) Which of the events can be considered unusual? Explain. Select all that apply. A. The event in part (a) is unusual because its probability is less than or equal to 0.05. B. The event in part (b) is unusual because its probability is…
The probability of winning a prize in a game of chance is 048. What is the least number of games that must be played to ensure that the probability of winning at least twice is more than 0.95?
In China approximately 70% of people are vaccinated. The current infection rate from the disease is about 2 per thousand people per day, shared between those that are unvaccinated and those vaccinated. the probability of getting infected if not vaccinated is 10 times larger than the probability of getting infected if not vaccinated. a/given the total infection rate and vaccination what would be the infection rate among the vaccinated? b/ if someone gets infected what is the probability that they were vaccinated? c/ draw a fiag
An average of 1 package is sent to a server in 1 second. The server, on the other hand, prepares a document using the 5 packages received. The time between packets is modeled as an exponential random variable. Let X be a random variable expressing the time it takes the server to prepare a document. The time taken to prepare a document; a) Find the probability that it is more than 10 seconds.(with detail) b) Find the probability that it is between 5 seconds and 10 seconds. (with detail)
he table summarizes results from 977 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 49 71 No 222 635 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated but the driver was. Please enter a decimal to 4 places.
The table summarizes results from 975 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 47 75 No 252 601 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated but the driver was. Please enter a decimal to 4 places.Probability =
In a 24-hour call center, complaints arrive at a mean rate of 1 complaint every 3 hours. (a) Find the probability that there are at most 3 complaints in the past 10 hours. (b) A day is “doomed” if there are at least 6 complaints. Each day, an inspector counts the number of complaints at the end of the day and determines whether the day was doomed. Find the probability that the inspector has worked for 7 days when he records the 3rd doomed day. (c) Find the probability that there are at least 2 complaints in the past 12 hours given that there are at most 5 complaints in the past 12 hours
Faults occur on a piece of string at an average rate of one every three metres. Bobbins, each containing 5 metres of this string are to be used. What is the probability that a randomly selected bobbin will contain (a) two faults. (b) at least two faults.
A probability distribution allows you to organize all possible outcomes of a random variable along with their corresponding occurrence probabilities. The expected value E (x) of a discrete random variable is calculated by multiplying each value that it can assume by its probability of occurrence and then adding the products.The following table shows the probability distribution for the time (in minutes) it takes for a computer to recover after a failure. What is the most likely wait time to use the computer again? Tiempo means Time and Probabilidad means Probability
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The time to fly between New York City and Chicago is uniformly distributed with a minimum of 56 minutes and a maximum of 100 minutes. What is the probability that a flight is less than 63 minutes?

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