The number of calls arriving at a telephone switchboard of a industry has an average of 120calls per hour.a) What is the probability that between 1 and 5 calls arrive inclusive in a period of 1 minute?b) If 3 one-minute periods are observed, not overlapping, What is the probability that between1 and 5 calls arrive inclusive in these periods?

A discrete random variable X is said to follow Poisson distribution with parameter λ, if its…

Answered: The number of calls arriving at a…

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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there are on average 24 typo error per page in an article. the article is 12 pages long . what is the probability that this article has 4 errors per sheet.( a sheet of 2 pages) ( round to two decimal places) .
A manufacturer offers to sell a device for counting lightning flashes during thunder storms. The device can record up to five distinct flashes per minute. a) If the average flash intensity experienced during a thunder storm at a record- ing location is nine flashes in six minutes, what is the probability that at least one flash will not be recorded in a one-minute period? What assump- tions are being made? b) Given this intensity, what is the probability of experiencing six lightning flashes in a two- minute period? c) What is the highest average intensity in flashes per hour for which the recorder can be used, if the probability of not recording all flashes in a minute must be less than 10%?
3) Each year, Sydney, Australia, on average, gets hit by 4 tropical storms. Find the probability that in a given year that area will be hit by more than 2 storms. (5 pts.)
Cynthia is president of an international chemical distribution company, Cchem. Weekly gross sales for Cchem has a mean of $1 million and standard deviation of $0.2 million; the distribution of sales is highly right-skewed. One week’s sales are independent of the sales in any other week. Use this information to answer questions 5 to 6 below. What is the probability that sales for the week of October 5, 2009 will be more than $1.25 million? In order for Cynthia to receive a bonus, Cchem’s annual sales must exceed $53 million. What is the probability that Cynthia will receive a bonus for the fiscal year starting in 2010? Assume there are 52 weeks in a year.
Assume that when human resource managers are randomly selected, 53% say job applicants should follow up within two weeks. If 7 human resource managers are randomly selected, find the probability that at least 5 of them say job applicants should follow up within two weeks. The probability is (Round to four decimal places as needed.)
Please show the steps and calculation. Thank you so so much!?
Assume that when human resource managers are randomly selected, 39% say job applicants should follow up within two weeks. If 6 human resource managers are randomly selected, find the probability that exactly 2 of them say job applicants should follow up within two weeks. The probability is (Round to four decimal places as needed.)
The number of vehicles that a car rental company rents daily is 5. According to this; a)What is the probability of renting up to 2 vehicles? b)What is the probability that 3 vehicles will be hired in any 3 out of the next 5 days?
10. Every day the average number of wrong numbers received by a certain mail-order house is two.What is the probability that this house receives a) 3 wrong calls tomorrow? b) At least 1 wrong call tomorrow?
Assume that when human resource managers are randomly selected, 46% say job applicants should follow up within two weeks. If 13 human resource managers are randomly selected, find the probability that fewer than 3 of them say job applicants should follow up within two weeks. The probability is (Round to four decimal places as needed.)
Assume that when human resource managers are randomly selected, 44% say job applicants should follow up within two weeks. If 6 human resource managers are randomly selected, find the probability that exactly 2 of them say job applicants should follow up within two weeks. The probability is (Round to four decimal places as needed.)
Assume that when human resource managers are randomly selected, 56% say job applicants should follow up within two weeks. If 5 human resource managers are randomly selected, find the probability that at least 3 of them say job applicants should follow up within two weeks. The probability is ☐ (Round to four decimal places as needed.)

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