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 ( (y +1) 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 78RE
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5:06
4 93% i
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
( +1)
금 (y-3)
0 <y< 3
f (Y = y) =
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
Transcribed Image Text:5:06 4 93% i 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 ( +1) 금 (y-3) 0 <y< 3 f (Y = y) = 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
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