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A train arrives at a station and waits 3.5 minutes before departing. Another train arrives at the station 16 minutes later, repeating the cycle. Identify the probability that a train will not be at the station when you arrive.

Answer :

Step-by-step explanation:

so we can safely say that one train will be there for 3.5 minutes and it will be gone for 16 minutes before another train comes and repeats the cycle.

we want how many minutes that the train will not be there over the total time that is possible so that would be

16/(16+3.5)

16/19.5

32/39

Hope that helps :)

The probability of the train not being at the station on arrival would be:

0.82

Find the probability

Given that,

The duration for which the train makes = 3.5 minutes

The time at which the second train arrives = 16 minutes later

We know that this cycle is repeated.

The duration for which the train is not there would be:

[tex]= 16/(16+3.5)[/tex]

[tex]= 16/19.5[/tex]

[tex]= 32/39[/tex]

[tex]= 0.82[/tex]

Thus, 0.82 is the probability.

Learn more about "Probability" here:

brainly.com/question/8069952

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