A running team consists of 3 athletes. The time duration each athlete can run is given by an exponential random variable with mean 10 minutes. a. In case the team loses if any athlete stops running. find the probability that the team loses in less than 5 minutes. b. In case the team loses if all athletes stops running, find the probability that the team loses in less than 5 minutes.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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A running team consists of 3 athletes. The time duration each athlete can run is given by an
exponential random variable with mean 10 minutes.
a. In case the team loses if any athlete stops running. find the probability that the team loses in
less than 5 minutes.
b. In case the team loses if all athletes stops running, find the probability that the team loses in
less than 5 minutes.
Transcribed Image Text:A running team consists of 3 athletes. The time duration each athlete can run is given by an exponential random variable with mean 10 minutes. a. In case the team loses if any athlete stops running. find the probability that the team loses in less than 5 minutes. b. In case the team loses if all athletes stops running, find the probability that the team loses in less than 5 minutes.
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