AT Patera 2.086 Prob Stats February 21, 2013 1AT Patera 2.086 Prob_Stats February 21, 2013 18 AT...
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AT Patera 2.086 Prob_Stats February 21, 2013 1
Transcript of AT Patera 2.086 Prob Stats February 21, 2013 1AT Patera 2.086 Prob_Stats February 21, 2013 18 AT...
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uniformcontinuous: intervaldiscrete: integer-valued: [1:J]; contiguous; non-contiguous; real-valued
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1
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uniform discrete integer contiguousrandi([Jmin,Jmax])
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discrete integer 1:J
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E_X( g(X) )
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x1 = 0, x2 = 1 1/2, 1/2y1 = 0, y2 = 1 1/2, 1/2x1=0 AND y1 = 0: 1/2*1/2 = 1/4(x,y) sample space: (0,0),(0,1),(1,1),(1,1)
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(X,Y) \sim f_{X,Y}
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E_{X,Y}
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n = 51,xbar_star_n = .5098
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xbar_n_51.pdf
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xbar51
freq
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y (1
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xbarn distribution: n = 51, θ = 1/2
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note for n = 48, theta = 1/2 P(Xbar_n = 0) = 3.5e-15 P(Xbar_n = 1/2) = .1146 (most likely outcome) [only "unlikely" because most likely!]
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binom_20_fair.pdf
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0123456789
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0 0.1 0.2
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2.086 Numerical Computation for Mechanical EngineersSpring 2013
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