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A church opens at 8:00am on Sunday. The number of visitors entering the church in a minute follows a Poisson distribution with a mean of 1.8. 5. (a) What is the variance of the number of visitors entering the church in a minute. (b) Find the probability that 3 visitors entering the church in the first two minutes after the church opens. (c) At 8:00, only one door at the entrance of the church is opened. If in any two consecutive minutes, there are at least 4 visitors entering the church in each minute, then a second door will be opened. Find the probability that the

A church opens at 8:00am on Sunday. The number of visitors entering the church in a minute follows a Poisson distribution with a mean of 1.8. 5. (a) What is the variance of the number of visitors entering the church in a minute. (b) Find the probability that 3 visitors entering the church in the first two minutes after the church opens. (c) At 8:00, only one door at the entrance of the church is opened. If in any two consecutive minutes, there are at least 4 visitors entering the church in each minute, then a second door will be opened. Find the probability that the

A First Course in Probability (10th Edition)
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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5. A church opens at 8:00am on Sunday. The number of visitors entering the church in a minute follows a Poisson distribution with a mean of 1.8. (a) What is the variance of the number of visitors entering the church in a minute. (b) Find the probability that 3 visitors entering the church in the first two minutes after the church opens. (c) At 8:00, only one door at the entrance of the church is opened. If in any two consecutive minutes, there are at least 4 visitors entering the church in each minute, then a second door will be opened. Find the probability that the second door is just opened three minutes after the church opens.
Transcribed Image Text:5. A church opens at 8:00am on Sunday. The number of visitors entering the church in a minute follows a Poisson distribution with a mean of 1.8. (a) What is the variance of the number of visitors entering the church in a minute. (b) Find the probability that 3 visitors entering the church in the first two minutes after the church opens. (c) At 8:00, only one door at the entrance of the church is opened. If in any two consecutive minutes, there are at least 4 visitors entering the church in each minute, then a second door will be opened. Find the probability that the second door is just opened three minutes after the church opens.
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