A parking lot has two entrances. Cars arrive at entrance I

Chapter 3, Problem 130E

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QUESTION:

Problem 130E

A parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of three per hour and at entrance II according to a Poisson distribution at an average of four per hour. What is the probability that a total of three cars will arrive at the parking lot in a given hour? (Assume that the numbers of cars arriving at the two entrances are independent.)

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QUESTION:

Problem 130E

A parking lot has two entrances. Cars arrive at entrance I according to a Poisson distribution at an average of three per hour and at entrance II according to a Poisson distribution at an average of four per hour. What is the probability that a total of three cars will arrive at the parking lot in a given hour? (Assume that the numbers of cars arriving at the two entrances are independent.)

ANSWER:

Solution:

Step 1 of 3:  

  Here our aim is to find the probability that a total of three cars arriving at the parking lot in a given hour.


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