Suppose we are waiting at the bus stop and a bus arrives every 30 minutes, on average. Let X represent your waiting time in minutes until the next bus arrives. X follows the exponential distribution. What is the probability that no bus arrives in the next 20 minutes, i.e. what is the probability of waiting more than 20 minutes for a bus P(X > 20) (a) 0.513 (b) 0.487 (c) 0.662 (d) 0.958 (e) Cannot be determined from the information given

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose we are waiting at the bus stop and a bus arrives every 30 minutes, on average. Let X represent your waiting time in minutes until the next bus arrives. X follows the exponential distribution. What is the probability that no bus arrives in the next 20 minutes, i.e. what is the probability of waiting more than 20 minutes for a bus P(X > 20)
(a) 0.513
(b) 0.487
(c) 0.662
(d) 0.958
(e) Cannot be determined from the information given

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