Practice Question 3: Suppose the time to do a health check (X) is exponentially distributed with an average of 20 minutes. a) What is the parameter of this exponential distribution (2)? b) What is the probability that a health check can be done in less than 15 minutes? c) What is the probability that a health check can be done in more than 25 minutes? d) What is the probability that a health check can be done in between 15 and 25 minutes) e) A health check already took 20 minutes, what is the probability that the health check can be done in less than 30 minutes?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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Practice Question 3:
Suppose the time to do a health check (X) is exponentially distributed with an average of 20
minutes.
a) What is the parameter of this exponential distribution (2)?
b) What is the probability that a health check can be done in less than 15 minutes?
c) What is the probability that a health check can be done in more than 25 minutes?
d) What is the probability that a health check can be done in between 15 and 25 minutes?
e) A health check already took 20 minutes, what is the probability that the health check
can be done in less than 30 minutes?
Transcribed Image Text:Practice Question 3: Suppose the time to do a health check (X) is exponentially distributed with an average of 20 minutes. a) What is the parameter of this exponential distribution (2)? b) What is the probability that a health check can be done in less than 15 minutes? c) What is the probability that a health check can be done in more than 25 minutes? d) What is the probability that a health check can be done in between 15 and 25 minutes? e) A health check already took 20 minutes, what is the probability that the health check can be done in less than 30 minutes?
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