5. Suppose that a point (X, Y, Z) is to be chosen at random in three-dimensional space, where X, Y, and Z are independent random variables and each has the standard normal distribution. What is the probability that the distance from the (0,0,0) to the point will be less than 1?
5. Suppose that a point (X, Y, Z) is to be chosen at random in three-dimensional space, where X, Y, and Z are independent random variables and each has the standard normal distribution. What is the probability that the distance from the (0,0,0) to the point will be less than 1?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Step 1: Given information.
Given that:
is a point chosen in three-dimensional space.
are three independent standard normal random variables.
To find:
The probability that the distance from the (0,0,0) to the point will be less than 1.
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