1. 2. 3. Find the probability that a randomly chosen washer has a thickness between 1.0 and 1.5 mm, and a hole diameter between 4.5 and 5 mm. Find the marginal probability density function of the thickness X of a washer. Find the marginal probability density function of the hole diameter Y of a washer.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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2.
3.
Questions on Example
Find the probability that a randomly chosen
washer has a thickness between 1.0 and 1.5
mm, and a hole diameter between 4.5 and
5 mm.
Find the marginal probability density
function of the thickness X of a washer.
Find the marginal probability density
function of the hole diameter Y of a washer.
Transcribed Image Text:1. 2. 3. Questions on Example Find the probability that a randomly chosen washer has a thickness between 1.0 and 1.5 mm, and a hole diameter between 4.5 and 5 mm. Find the marginal probability density function of the thickness X of a washer. Find the marginal probability density function of the hole diameter Y of a washer.
Example
Assume that for a certain type of washer, both the
thickness and the hole diameter vary from item to
item. Let X denote the thickness in millimeters and let
Y denote the hole diameter in millimeters, for a
randomly chosen washer. Assume that the joint
probability density of X and Y is given by
(x+y), if1≤x≤2 and 4≤ y ≤5
0, otherwise
f(x, y) = {6
Transcribed Image Text:Example Assume that for a certain type of washer, both the thickness and the hole diameter vary from item to item. Let X denote the thickness in millimeters and let Y denote the hole diameter in millimeters, for a randomly chosen washer. Assume that the joint probability density of X and Y is given by (x+y), if1≤x≤2 and 4≤ y ≤5 0, otherwise f(x, y) = {6
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