(b) Everyday, thousands of people at the airport pass through on one of two security gates: Gate A or Gate B. Suppose that, on average it takes people 26 minutes to pass through Gate A with a standard deviation of 7.5 minutes. For Gate B, the mean and standard deviation are 24 and 4 minutes, respectively. Given that 100 random samples of people of each gate are taken. (1) Find the probability that mean passing time Gate A is slower than the mean passing time through Gate B. (ii) If 10 people are selected at random, find the probability that the passing time Gate A will be faster than passing time Gate B at least 3 minutes. (iii) How did the variance of sampling distribution of X change when the number of passenger at the airport increased?
(b) Everyday, thousands of people at the airport pass through on one of two security gates: Gate A or Gate B. Suppose that, on average it takes people 26 minutes to pass through Gate A with a standard deviation of 7.5 minutes. For Gate B, the mean and standard deviation are 24 and 4 minutes, respectively. Given that 100 random samples of people of each gate are taken. (1) Find the probability that mean passing time Gate A is slower than the mean passing time through Gate B. (ii) If 10 people are selected at random, find the probability that the passing time Gate A will be faster than passing time Gate B at least 3 minutes. (iii) How did the variance of sampling distribution of X change when the number of passenger at the airport increased?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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