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.

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Chapter1: Combinatorial Analysis
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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. 

P(Y>X) = ?
k= 315
512
315
512
4-2 4-2-24
4
!!
xyz² dx dydz = i
Transcribed Image Text:P(Y>X) = ? k= 315 512 315 512 4-2 4-2-24 4 !! xyz² dx dydz = i
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