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lubasha [3.4K]
1 year ago
7

Metro buses are scheduled to arrive at each stop every 30 minutes. If the time a person waits at a bus stop is uniformly distrib

uted and the maximum possible wait time for a bus is 30 minutes, what is the probability that you will wait more than 25 minutes for a bus
Mathematics
1 answer:
Nutka1998 [239]1 year ago
4 0

Answer:

The probability is P(X > 25 )  =  1.667

Step-by-step explanation:

From the question we are told that

    The  maximum wait is  b  = 30 \ minutes

      The  minimum wait would be  a =  0\  minutes

Generally the probability that you will wait more than 25 minutes for a bus is mathematically represented as

   P(X > 25 )

Now given that the time a person waits is uniformly distributed and that the maximum is  30 then we can evaluate the above probability as

    P(X > 25 ) =  P(25 <  X  <  30 ) =  \frac{30 - 25}{30 -  0}

     P(X > 25 )  =  1.667

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