MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Statements and Logic
Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.
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2(1-42) {f os Y,S !,0< %€! f(gi, 42)=20 %3D otherwis e Let Yz demote the proportron of type I impuritles among all Pmpuritzes focend eu the sample. The margni al probabilias dencay fun ch ponot Y,. fy, Cb) = fr.v, CYi, Yz) dyz %3D 24. J 2(1-42) dz 2 2 o[1-0]- 2 [%C*-»]] = 2-€(x* )] - 2-1 ECY2) = S fr Cyx) dy, = Sidy,e [%]o | I dy, = [%]% zI freCys) dyz Y2 =0 ECYz) = I value of the proporteon of type I mpurties in -. Expeoted the sample = / %3D
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Transcribed Image Text:2(1-42) {f os Y,S !,0< %€! f(gi, 42)=20 %3D otherwis e Let Yz demote the proportron of type I impuritles among all Pmpuritzes focend eu the sample. The margni al probabilias dencay fun ch ponot Y,. fy, Cb) = fr.v, CYi, Yz) dyz %3D 24. J 2(1-42) dz 2 2 o[1-0]- 2 [%C*-»]] = 2-€(x* )] - 2-1 ECY2) = S fr Cyx) dy, = Sidy,e [%]o | I dy, = [%]% zI freCys) dyz Y2 =0 ECYz) = I value of the proporteon of type I mpurties in -. Expeoted the sample = / %3D
A process for producing an industrial chemical yields a product containing two types of im- purities. For a specified sample from this process, let Y1 denote the proportion of impurities in the sample and let Y2 denote the proportion of type I impurities among all impurities found. Suppose that the joint distribution of Y1 and Y2 can be modeled by the following probability density function: 2(1 – y2) if 0 < y1 < 1,0 < y2 <1 f(y1, Y2) = otherwise Find expected value of the proportion of type I impurities in the sample.
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Transcribed Image Text:A process for producing an industrial chemical yields a product containing two types of im- purities. For a specified sample from this process, let Y1 denote the proportion of impurities in the sample and let Y2 denote the proportion of type I impurities among all impurities found. Suppose that the joint distribution of Y1 and Y2 can be modeled by the following probability density function: 2(1 – y2) if 0 < y1 < 1,0 < y2 <1 f(y1, Y2) = otherwise Find expected value of the proportion of type I impurities in the sample.
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