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
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...
Related questions
Question
I need help with this question, A and C are wrong and I don't know D

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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Recommended textbooks for you

A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON


A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
