Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows:Find Cov(X, Y).Find ρX,Y . Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come offtheir assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number oftransmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows:y0.100.160.060.020.130.070.080.080.020.0310.120.040.020.0430.010.02

Here Cov(X,Y)=E[XY]-E[X]*E[Y]. we have E[X]=0*0.33+1*0.40+2*0.20+3*0.07=1.01.…

Answered: Automobile engines and transmissions…

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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Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows:

Find Cov(X, Y).

Find ρ_X,Y .

Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off
their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of
transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows:
y
0.10
0.16
0.06
0.02
0.13
0.07
0.08
0.08
0.02
0.03
1
0.12
0.04
0.02
0.04
3
0.01
0.02

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