ejercicios de probabilidad y estadistica

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Ejercicio 20 x y xy x^2 y^2 Ys 2 3 6 4 9 3 4 4 16 16 16 3.8 6 4 24 36 16 4.6 8 6 48 64 36 5.4 10 6 60 100 36 6.2 12 7 84 144 49 7 Cov(x,y) 4.66666667 r 0.96609178 Ys a 2.2 b 0.4 Ejercicio 28 x y xy x^2 y^2 Ys 120 3.6 432 14400 12.96 50.2 130 3.7 481 16900 13.69 54.2 125 3.8 475 15625 14.44 52.2 120 4.6 552 14400 21.16 50.2 135 4.9 661.5 18225 24.01 56.2 130 4.4 572 16900 19.36 54.2 125 4.4 550 15625 19.36 52.2 128 4.2 537.6 16384 17.64 53.4 115 3.6 414 13225 12.96 48.2 120 3.2 384 14400 10.24 50.2 Cov(x,y) 1.718

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Ejercicios de probabilidad y estadistica.

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Hoja1Ejercicio 20N6xyxyx^2y^2Ys(y-ym)^2(y-ys)^2(ys-ym)^2Sumatorias236493404x42Xm7441616163.810.041.44y30Ym5642436164.610.360.16xy238S2x11.6666666667864864365.410.360.16x^2364S2y210660100366.210.041.44y^2162Sx3.415650255312784144497404VT(y-ym)^212Sy1.4142135624VNE(y-ys)^20.8VN(ys-ym)^211.2

Cov(x,y)4.6666666667r0.9660917831Ysa2.2b0.4Ejercicio 28N10xyxyx^2y^2Ys(y-ym)^2(y-ys)^2(ys-ym)^2Sumatorias1203.64321440012.9650.21.962171.562043.04x1248Xm124.81303.74811690013.6954.21.692550.252420.64y40.4Ym4.041253.84751562514.4452.21.442342.562227.84xy5059.1S2x33.361204.65521440021.1650.20.162079.362043.04x^2156084S2y0.26041354.9661.51822524.0156.20.012631.692621.44y^2165.82Sx5.77581163131304.45721690019.3654.20.362480.042420.64VT(y-ym)^211.82Sy0.51029403291254.45501562519.3652.20.362284.842227.84VNE(y-ys)^223159.11284.2537.61638417.6453.40.642420.642342.56VN(ys-ym)^222256.321153.64141322512.9648.21.961989.161866.241203.23841440010.2450.23.2422092043.04

Cov(x,y)1.718r0.5828940854Ysa-2.3870503597b0.051498801Ejercicio 29N19xyxyx^2y^2Ys(y-ym)^2(y-ys)^2(ys-ym)^2Sumatorias192592518556252.6846400850821.765.76x368Xm19.368421052628701740475690037482257516894y10588Ym557.263157894748093236166544813.8646416648347.041.44xy161117S2x232.969529085947202880165184003.8511225512942.441.44x^211554S2y30616.509695290856943470254816364.2474721475824.040.64y^26482016Sx15.263339381986305040643969005.4390625390125.160.16VT(y-ym)^26376611Sy174.9757403051062662601003918766.2385641384152.041.44VNE(y-ys)^26309123.481056256201003158446.2310249308913.641.44VN(ys-ym)^21173.28125466552144298116729268129052141552378452252735298.2268324265019.0410.2420486972040023619610.2231361226385.6427.0422462101644842134441120884920340136254411102562519448112.2190096183869.4451.84254261065062518147612.2177241171230.4451.84303681104090013542414.2131769125174.4484.643535012250122512250016.2119025111422.44125.444048019200160023040018.2225625213259.24174.245034817400250012110422.2117649106145.64295.845032216100250010368422.210048989880.04295.84

Cov(x,y)-2313.4653739612r-0.8662347524Ysa749.5980594992b-9.9303345937Ejercicio 30N6xyxyx^2y^2Ys(y-ym)^2(y-ys)^2(ys-ym)^2Sumatorias4004000160000016000016000000162.21596002514728708.8424711.84x3450Xm5754505000225000020250025000000182.22495002523211196.8431399.84y33700Ym5616.66666666675505400297000030250029160000222.22910602526809612.8447175.84xy20090000S2x156256005900354000036000034810000242.23475102532010700.8456263.84x^22077500S2y941388.8888888847006400448000049000040960000282.24089602537427476.8476839.8399999999y^2194930000Sx1257507000525000056250049000000302.24893002544860524.8488327.8399999999VT(y-ym)^2194593150Sy970.2519718552VNE(y-ys)^2179048221.04VN(ys-ym)^2324719.04

Cov(x,y)118750r0.9791271005Ysa1246.6666666667b7.6Ejercicio 32N6xyxyx^2y^2Ys(y-ym)^2(y-ys)^2(ys-ym)^2Sumatorias400114400160000121162.23622861.4424711.84x3090Xm515650159750422500225262.210061107.839999999966151.8399999999y80Ym13.3333333333450135850202500169182.26428628.6431399.84xy43440S2x23091.6666666667420125040176400144170.24925027.2427291.04x^21729900S2y6.2222222222380114180144400121154.23620506.2422260.64y^21104Sx151.95942440887901814220624100324318.216990120.039999999998094.2399999999VT(y-ym)^2454Sy2.4944382578VNE(y-ys)^2248251.44VN(ys-ym)^2269909.44

Cov(x,y)373.3333333333r0.9849095971Ysa5.0070973175b0.0161674486