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à 12-in. bar that is clamped at both ends is to be sub- ected to an increasing amount of stress until it snaps. Let = the distance from the left end at which the break = ccurs. Suppose Y has pdf f(y) y {(6)H(1-2) 24 0 0≤ y ≤ 12 otherwise Graph the pdf and verify that the total area under the density curve is indeed 1. -. Calculate P(X ≤ 4). How does this probability com- pare to P(X < 4)? • Calculate P(3.5 ≤X ≤ 4.5) and also P(4.5 < X).

à 12-in. bar that is clamped at both ends is to be sub- ected to an increasing amount of stress until it snaps. Let = the distance from the left end at which the break = ccurs. Suppose Y has pdf f(y) y {(6)H(1-2) 24 0 0≤ y ≤ 12 otherwise Graph the pdf and verify that the total area under the density curve is indeed 1. -. Calculate P(X ≤ 4). How does this probability com- pare to P(X < 4)? • Calculate P(3.5 ≤X ≤ 4.5) and also P(4.5 < X).

MATLAB: An Introduction with Applications
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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A 12-in. bar that is clamped at both ends is to be sub- jected to an increasing amount of stress until it snaps. Let Y = the distance from the left end at which the break occurs. Suppose Y has pdf -{(2) (1) 0 C. f(y) = = 24 V 12 0≤ y ≤ 12 otherwise a. Graph the pdf and verify that the total area under the density curve is indeed 1. b. Calculate P(X ≤ 4). How does this probability com- pare to P(X < 4)? Calculate P(3.5 ≤X ≤ 4.5) and also P(4.5 < X).
Transcribed Image Text:A 12-in. bar that is clamped at both ends is to be sub- jected to an increasing amount of stress until it snaps. Let Y = the distance from the left end at which the break occurs. Suppose Y has pdf -{(2) (1) 0 C. f(y) = = 24 V 12 0≤ y ≤ 12 otherwise a. Graph the pdf and verify that the total area under the density curve is indeed 1. b. Calculate P(X ≤ 4). How does this probability com- pare to P(X < 4)? Calculate P(3.5 ≤X ≤ 4.5) and also P(4.5 < X).
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