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A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls. Initially, only one lane will be used. Cars are estimated to arrive at this experimental lane at the rate of 750 per hour. It will take exactly four seconds to verify the debit card.

b.How many cars would you expect to see in the system?

Short Answer

Expert verified

The exploratory likelihood, moreover known asExperimental likelihood, is based on actual tests and satisfactory recordings of the happening occasions.

Step by step solution

01

Experiment

To decide the event of anyexperience, an arrangement of accurate tests is conducted. Tests that don't have a settled result are known as blind tests. The result of such tests is dubious. Blind tests are rehashed numerous times to decide their probability.

02

How much time would you expect the customer to wait in line, pay with the debit card

Estimated cars to arrive at the rate of 750 per hour and

(b) 900 debit cards are verified per hour

(15 cards per minute at 4 seconds per card and 15 x 60 minutes = 900 cards).

Therefore,

λ=750and

μ=900

Let us work out the solution with the above information.

1. Expected time that a customer waits in line to pay and leave.

So each customer wait for 24 seconds in line including debit card verification and leave.

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