An airport counter checks in an average of 4 guests every 10 minutes.What is the probability that between 5:45 pm and 6:30 pm, exactly 10 guests arrive with six of them arriving within the first 30 minutes, and the rest arriving within the last 15 minutes?Suppose that a guest was just served now. There is a 60% chance that the next guest will arrive in x minutes or more. What is the value of x?Assume that the airport implements a mandatory rest break for counter staff after they have served 50 guests. Find the mean and standard deviation of the number of hours a counter staff will have to work before being forced to take a break.

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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  1. An airport counter checks in an average of 4 guests every 10 minutes.What is the probability that between 5:45 pm and 6:30 pm, exactly 10 guests arrive with six of them arriving within the first 30 minutes, and the rest arriving within the last 15 minutes?Suppose that a guest was just served now. There is a 60% chance that the next guest will arrive in x minutes or more. What is the value of x?Assume that the airport implements a mandatory rest break for counter staff after they have served 50 guests. Find the mean and standard deviation of the number of hours a counter staff will have to work before being forced to take a break.
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