Question

A bus arrives at a station every day at a random time between 1:00 P.M. and...

A bus arrives at a station every day at a random time between 1:00 P.M. and 1:30 P.M.

(a) What is the probability that the person has to wait exactly 15 minutes for the bus?

(b) What is the probability that the person has to wait between 15 and 20 minutes for the bus?

Math   Statistics-And-Probability   
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Answer #1

A bus arrives at a station everyday at a random time between 1:00 PM and 1:30 PM.

Let X denote the number of minutes past 1:00 PM that the passenger arrives at the stop.

X~U(0,30), since X is a random number between 0 and 30.

a) Probability that the person has to wait exactly 15 minutes for the bus= P[X=15]
Since this would be just one line, and the width of the line is 0, then the P[X=15]= 0* (1/30) = 0

b) P[ 15 <X< 20 ]

=

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