2. Suppose the time between consecutive passenger arrivals at the airport securi

Question

2. Suppose the time between consecutive passenger arrivals at the airport security X-ray scanner is exponentially distributed with mean of 5 seconds.

2-1. What is the probability that the time between two consecutive arrivals will exceed 10?

2-2. If the time required to scan one customer’s bags is exponentially distributed with mean of 4 seconds, then what is the likelihood that it will take no more than 3 seconds?

2. Suppose the time between consecutive passenger arrivals at the airport securityX-ray scanner is exponentially distributed with mean of 5 seconds. 2-1. What is the probability that the time between two consecutive arrivals will exceed 10 e 2-2. If the time required tosca one customer's bags is exponentially distributed with mean of 4 seconds, then what is the likelihood that it will take no more than 3 seconds?

Explanation / Answer

Using the exponential distribution formula,

P = e-x
1) Probability = 0.054134113294645084

2) Probabilty = 0.23618327637050737

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