Moonlight Travel Reservation Service has one agent and 3 telephone lines. When the agent is busy, the next caller is placed on hold on one of the remaining lines. When all three lines are busy, callers receive a busy signal and call elsewhere for reservations. Service appears to be exponentially distributed, with a mean of three minutes. Calls arrive randomly at a Poisson rate of 15/hour. a. What is the probability that a caller receives a busy signal?

Moonlight Travel Reservation Service has one agent and 3 telephone lines. When the agent is busy, the next caller is placed on hold on one of the remaining lines. When all three lines are busy, callers receive a busy signal and call elsewhere for reservations. Service appears to be exponentially distributed, with a mean of three minutes. Calls arrive randomly at a Poisson rate of 15/hour. a. What is the probability that a caller receives a busy signal?

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

7.) The Pew Internet and American Life Project reported in 2004 that 55% of current music downloaders say they are using paid services. Consider a random sample of 18 music downloaders.a.) Find the probability that the sample contains 15 music downloaders who are usingpaid services using the formula.b.) Find the probability that the sample contains 10 or fewer music downloaders who areusing paid services using the calculator.c.) Find the probability that the sample contains 9 or more music downloaders who areusing paid services using the calculator.d.) Find the probability that the sample contains between 8 and 15, inclusive, musicdownloaders who are using paid services using the calculator.e.) Find the mean number of music downloaders who are using paid services.f.) Find the standard deviation of music downloaders who are using paid services.
2. According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers defense will have 3 or more sacks in the game is 0.07. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.30. The is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game is 0.31. What is the probability that the Bucs will score a touchdown on their first drive? Answer in decimal form. Round to two decimal places as needed.
6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known that those who use this type of drug have ½ 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive. a.) Fill out a probability cross tabulation. b.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug? c) If the employee tests positive for a certain drug, what's the probability that the employee does NOT use the drug?
A crate contains 50 led light of which 5 are defective and 45 are not. A Quality Control Inspector randomly samples 12 led light without replacement. Let X be the number of defective led light selected. Find the probability that less than 2 led light are defective. Determine the probability distribution to solve this problem.
CH420 Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 94 people in the 18-21 age bracket and finds that 80 of them respond and 14 refuse to respond. When 290 people in the 22-29 age bracket are contacted, 272 respond and 18 refuse to respond. Assume that 1 of the 384 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket OR someone who agreed to respond.Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.prob =
a bookstore owner examines 6 books from each lot of 20 to check for missing pages.If he finds at least 3 books with missing pages, the entire lot is returned Mean- Probability
Assume that when adults with smartphones are randomly selected, 43% use them in meetings or classes. If 14 adult smartphone users are randomly selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes. The probability is?
. Based on past experience, a company knows that an experienced machine operator will produce a defective item 2% of the time. Operators with some experience produce a defective item 3.5% of the time, and new operators will produce a defective item 9% of the time. At any one time, the company has 53% experienced operators, 33% operators with some experience,and 14% new operators. draw a tree diagram. Given that the item is defective, what is the probability that it was made by a new operator?
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
Assume that when adults with smartphones are randomly selected, 47% use them in meetings or classes. If 11 adult smartphone users are randomly selected, find the probability that fewer than 4 of them use their smartphones in meetings or classes. The probability is..
Assume that when human resource managers are randomly selected, 38% say job applicants should follow up within two weeks. If 30 human resource managers are randomly selected, find the probability that exactly 23 of them say job applicants should follow up within two weeks. a.The probability is?