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Suppose a bus arrives at a bus stop every 15 minutes. If you arrive at the bus stop at a random time, what is the probability that you will have to wait at least 10 minutes for the bus?

Respuesta :

1/3 overall waiting time will be 12.5 minutes

Answer:   Probability that he will have to wait atleast 10 minutes is given by [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Since we have given that

Number of minutes after which a bus arrives at a bus stop = 15 minutes

If an individual arrive at the bus stop at a random time.

The probability that he will have to wait at least 10 minutes for the bus.

First, we will the probability that he will have to wait atmost 10 minutes which  is given by

[tex]\dfrac{10}{15}=\dfrac{2}{3}[/tex]

So, Probability that he will have to wait atleast 10  minutes is given by

[tex]1-\dfrac{2}{3}\\\\=\dfrac{1}{3}[/tex]

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