SOLUTION: Customers arrive randomly at a checkout counter at an average rate of 2 every five minutes. PLEASE USE 4 DECIMAL PLACES IN THE ANSWERS. Question content area bottom Part 1

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Question 1205908: Customers arrive randomly at a checkout counter at an average rate of 2 every five minutes.

PLEASE USE 4 DECIMAL PLACES IN THE ANSWERS.
Question content area bottom
Part 1
​a) What is the probability that none arrive in a five minute​ period?
The probability that none arrive in a five minute period is  
  
enter your response here.
​b) What is the probability that more than four arrive in a ten minute​ period?
The probability that more than four arrive in a ten minute period is
  
enter your response here.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Let X denotes the number of persons arriving at the counter.
a Poisson distribution with parameter: per minutes



the probability function is

The probability that arrive in a five-minute period is






The probability that customers arrive in a minute period is














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