A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
Find the probability that a point (X, Y, Z) lands in a
a hollow parallelepiped whose outer surface is given by the
region representing
planes
x = a1, = b₁, y = C₁, y = d₁, z = m₁, z = n1,
and whose inner surface is given by the planes
z = n₂
x = a₂, x = b₂, y = C2, y = d₂, z = m₂,
(bi > ai, di > C₁₂ n₁ > m₁, i = 1, 2).
The dispersion of points (X, Y, Z) obeys a normal distribution with the
principal axes parallel to the coordinate axes, the dispersion center at the
point x, y, z and mean deviations Ex, Ey, Ez.
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Transcribed Image Text:Find the probability that a point (X, Y, Z) lands in a a hollow parallelepiped whose outer surface is given by the region representing planes x = a1, = b₁, y = C₁, y = d₁, z = m₁, z = n1, and whose inner surface is given by the planes z = n₂ x = a₂, x = b₂, y = C2, y = d₂, z = m₂, (bi > ai, di > C₁₂ n₁ > m₁, i = 1, 2). The dispersion of points (X, Y, Z) obeys a normal distribution with the principal axes parallel to the coordinate axes, the dispersion center at the point x, y, z and mean deviations Ex, Ey, Ez.
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