Just like we went from a single to a double integral, we can add another dimension to create a triple integral. One (hard-to-visualize) interpretation of a triple integral is the hyper-volume of a 4-dimensional region. We can interpret triple integrals in other ways depending on the context of the problem. 1. Compute the probability P(Y > X). And draw a graph showing how we get the bounds. Note: the answer fpr P(Y>X) is 7/27

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 2E
Question

Just like we went from a single to a double integral, we can add another dimension to
create a triple integral. One (hard-to-visualize) interpretation of a triple integral is the
hyper-volume of a 4-dimensional region. We can interpret triple integrals in other ways
depending on the context of the problem.

1. Compute the probability P(Y > X). And draw a graph showing how we get the bounds. Note: the answer fpr P(Y>X) is 7/27

What is P(y> x) ?
315
S12
413 2-2/2/2 4-x-24
!!
xyz² dz dy dx
Transcribed Image Text:What is P(y> x) ? 315 S12 413 2-2/2/2 4-x-24 !! xyz² dz dy dx
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