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In order to attend an important 8 A.M. lecture, you arrive at the shuttle stop at...

In order to attend an important 8 A.M. lecture, you arrive at the shuttle stop at a time distributed uniformly between 7:20 A.M. and 7:30 A.M. The time between consecutive shuttle arrivals is known to be exponentially distributed with mean 15 minutes. If the journey takes 30 minutes, what is the probability that you arrive late to the lecture?

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Answer #1

at uthe wait tam the pensen gub d the stop x0p 1) YuKt shete aniwo- Yne( 11 15 Now, the penson willb date it X +Y+30 ン40 ( 8:

PCX+YSIO) PCX+YSIN=OXex (2-01) 03293 0-73

Thus, the probability of reaching late =0.73

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