Concept explainers
Customers arrive at a bank at a Poisson rate
a. both arrived during the first 20 minutes?
b. at least one arrived during the first 20 minutes?
a.
To find: The probability that both the customers will arrive in first 20 minutes.
Answer to Problem 9.1PTE
The probability is 1/9.
Explanation of Solution
Given:
There are two customers that would arrive in first hour of bank.
The rate being followed is
Calculation:
It is given that two customers would come in first minutes. Thus,
The probability that both the customers will arrive in first 20 minutes can be calculated as:
Thus, the required probability is 1/9.
b.
To find: The probability that at least one of the customers will arrive in first 20 minutes.
Answer to Problem 9.1PTE
The probability is 5/9.
Explanation of Solution
Calculation:
The probability that at least one of the customers will arrive in first 20 minutes can be calculated as:
Thus, the required probability is 5/9.
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