The length of time of calls made to a support helpline follows an exponential distribution with an average duration of 20 minutes so that λ = = 0.05. (Round your answer to four decimal places.) 20 (a) What is the probability that a call to the helpline lasts less than 10 minutes? 0.3965 X (b) What is the probability that a call to the helpline lasts more than 30 minutes? 0.2231 (c) What is the probability that a call lasts between 20 and 30 minutes? 0.1448 x

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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The length of time of calls made to a support helpline follows an exponential distribution with an average duration of 20 minutes so that >=
(a) What is the probability that a call to the helpline lasts less than 10 minutes?
0.3965
X
(b) What is the probability that a call to the helpline lasts more than 30 minutes?
0.2231
(c) What is the probability that a call lasts between 20 and 30 minutes?
0.1448
X
= 0.05. (Round your answer to four decimal places.)
20
(d) Tchebysheff's Theorem says that the interval 20 ± 2(20) should contain at least 75% of the population. What is the actual probability that the call times lie in this interval?
X
Transcribed Image Text:The length of time of calls made to a support helpline follows an exponential distribution with an average duration of 20 minutes so that >= (a) What is the probability that a call to the helpline lasts less than 10 minutes? 0.3965 X (b) What is the probability that a call to the helpline lasts more than 30 minutes? 0.2231 (c) What is the probability that a call lasts between 20 and 30 minutes? 0.1448 X = 0.05. (Round your answer to four decimal places.) 20 (d) Tchebysheff's Theorem says that the interval 20 ± 2(20) should contain at least 75% of the population. What is the actual probability that the call times lie in this interval? X
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