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Anya has just missed her bus. The wait time for the next bus is between 7...

Anya has just missed her bus. The wait time for the next bus is between 7 min and 15 min, as shown, with equal probability for each time. What is the probability that she will wait less than 10 min?

Math   Statistics-And-Probability   
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Answer #1

Let , X be the wait time for the next bus.

X be the uniform Distribution over interval ( 7 , 15 )

We have to find P( x < 10 )

Using cumulative distribution formula of Uniform distribution.

If X follows uniform distribution over interval ( a , b ) then  

Here , a = 7 and b = 15

So,

P( x <= 10 ) = 0.375

The probability that she will wait less than 10 min is 0.375

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