Answered: Sahad prides himself in making a burger…

Sahad prides himself in making a burger in under 4 minutes. The time, Y, in minutes to make the burger can be shown to have the following PDF (급(y+ 2) 0

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Sahad prides himself in making a burger in under 4 minutes. The time, Y, in minutes to make the burger can be shown to have the following PDF
금 (y + 2) 0<y< 3
교 (y-2) 3< y<4
f (Y = y) =
otherwise
a. What is the probability that the burger would be made in under 2 minutes?
Answer in exact fraction or rounded to at least 4 decimal places
b. What is the probability that the burger would be made in either less than 1 minute or more than 3 minutes?
Answer in exact fraction or rounded to at least 4 decimal places
c. What is the expected time needed for Sahad to make a burger?
Answer in exact fraction or rounded to at least 4 decimal places

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