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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 42E
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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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