A fire service response team always reaches the scene of an accident within 6 minutes. The time Y in minutes to reach an accident can be shown to have the following PDF t(y + 1) 0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 7RE: Does the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain.
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5:06
4 93%
A fire service response team always reaches the scene of an accident within 6 minutes. The time Y in minutes to reach an accident can
be shown to have the following PDF
5(y +1) 0<y < 3
f (Y = y) = { }(y – 3) 3< y <6
otherwise
a. What is the probability that it would take more than 4 minutes to reach the accident?
Answer in exact fraction or rounded to at least 4 decimal places
b. What is the probability that it would take either less than 2 minutes or more than 5 minutes to reach the scene of the accident?
Answer in exact fraction or rounded to at least 4 decimal places
c. What is the expected time to reach the accident?
Answer in exact fraction or rounded to at least 4 decimal places
Submit
You have used O of 2 attempts
Transcribed Image Text:5:06 4 93% A fire service response team always reaches the scene of an accident within 6 minutes. The time Y in minutes to reach an accident can be shown to have the following PDF 5(y +1) 0<y < 3 f (Y = y) = { }(y – 3) 3< y <6 otherwise a. What is the probability that it would take more than 4 minutes to reach the accident? Answer in exact fraction or rounded to at least 4 decimal places b. What is the probability that it would take either less than 2 minutes or more than 5 minutes to reach the scene of the accident? Answer in exact fraction or rounded to at least 4 decimal places c. What is the expected time to reach the accident? Answer in exact fraction or rounded to at least 4 decimal places Submit You have used O of 2 attempts
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