Nr. Crt D=20s D=30s D=60s1 1.0 2.0 3.0 5.02 1.03 1.0 2.04 1.0 2.05 1.0 1.06 0.07 0.0 5.0 8.0 11.08 5.09 3.0 4.0

10 1.0 3.011 0.0 2.012 2.013 0.0 1.0 3.0 7.014 1.015 2.0 3.016 1.0 4.017 3.0 3.018 0.019 0.0 2.0 2.0 12.020 2.021 0.0 2.022 2.0 10.023 5.0 8.024 3.025 2.0 3.0 5.0 12.026 1.027 2.0 5.028 3.0 7.029 2.0 4.030 2.031 1.0 2.0 2.0 6.032 1.033 0.0 1.034 1.0 4.035 0.0 3.036 3.037 0.0 3.0 7.0 16.038 3.039 4.0 6.040 2.0 9.041 5.0 7.042 2.043 0.0 0.0 4.0 10.044 0.045 4.0 5.046 1.0 6.047 2.0 5.048 3.049 1.0 2.0 4.0 10.050 1.051 2.0 5.052 3.0 6.053 1.0 3.0

=10s

54 2.055 0.0 3.0 5.0 12.056 3.057 2.0 4.058 2.0 7.059 5.0 5.060 0.061 0.0 2.0 2.0 5.062 2.063 0.0 0.064 0.0 3.065 2.0 3.066 1.067 1.0 3.0 3.0 12.068 2.069 0.0 0.070 0.0 9.071 2.0 9.072 7.073 2.0 3.0 5.0 14.074 1.075 2.0 2.076 0.0 9.077 1.0 9.078 8.079 0.0 2.0 4.0 14.080 2.081 2.0 3.082 1.0 10.083 1.0 9.084 8.085 1.0 1.0 5.0 14.086 0.087 4.0 10.088 6.0 9.089 1.0 3.090 2.091 4.0 5.0 10.0 17.092 1.093 5.0 6.094 1.0 7.095 3.0 6.096 3.097 8.0 9.0 9.0 12.098 1.099 0.0 1.0

100 1.0 3.0101 1.0 2.0102 1.0103 4.0 4.0 5.0 8.0104 0.0105 1.0 2.0106 1.0 3.0107 1.0 2.0

108 1.0109 0.0 3.0 5.0 10.0110 3.0111 2.0 5.0112 3.0 5.0113 2.0 2.0114 0.0115 3.0 4.0 5.0 8.0116 1.0117 1.0 2.0118 1.0 3.0119 0.0 2.0120 2.0121 0.0 7.0 11.0 17.0122 7.0123 4.0 4.0124 0.0 6.0125 2.0 6.0126 4.0127 1.0 3.0 5.0 11.0128 2.0129 2.0 4.0130 2.0 6.0131 2.0 4.0132 2.0133 0.0 5.0 6.0 11.0134 5.0135 1.0 4.0136 3.0 5.0137 2.0 2.0138 0.0139 0.0 4.0 5.0 6.0140 4.0141 1.0 2.0142 1.0 1.0143 0.0 0.0144 0.0145 1.0 3.0 6.0 11.0146 2.0147 3.0 5.0148 2.0 5.0149 1.0 3.0150 2.0151 3.0 5.0 7.0 19.0152 2.0153 2.0 5.0154 3.0 12.0155 1.0 9.0156 8.0157 2.0 3.0 5.0 12.0158 1.0159 2.0 4.0160 2.0 7.0161 2.0 5.0

162 3.0163 4.0 6.0 10.0 14.0164 2.0165 4.0 5.0166 1.0 4.0167 1.0 3.0168 2.0169 3.0 3.0 6.0 11.0170 0.0171 3.0 6.0172 3.0 5.0173 1.0 2.0174 1.0175 3.0 4.0 6.0 10.0176 1.0177 2.0 4.0178 2.0 4.0179 1.0 2.0180 1.0181 2.0 5.0 7.0 15.0182 3.0183 2.0 7.0184 5.0 8.0185 0.0 3.0186 3.0187 2.0 7.0 10.0 18.0188 5.0189 3.0 3.0190 0.0 8.0191 6.0 8.0192 2.0193 2.0 4.0 5.0 10.0194 2.0195 1.0 3.0196 2.0 5.0197 1.0 3.0198 2.0199 2.0 5.0 7.0 16.0200 3.0201 2.0 5.0202 3.0 9.0203 4.0 6.0204 2.0205 3.0 4.0 9.0 15.0206 1.0207 5.0 8.0208 3.0 6.0209 1.0 3.0210 2.0211 3.0 7.0 9.0 22.0212 4.0213 2.0 7.0214 5.0 13.0215 6.0 8.0

216 2.0217 2.0 4.0 4.0 10.0218 2.0219 0.0 1.0220 1.0 6.0221 0.0 5.0222 5.0223 2.0 6.0 9.0 14.0224 4.0225 3.0 3.0226 0.0 5.0227 2.0 5.0228 3.0229 2.0 6.0 6.0 13.0230 4.0231 0.0 2.0232 2.0 7.0233 5.0 5.0234 0.0235 7.0 10.0 13.0 18.0236 3.0237 3.0 5.0238 2.0 5.0239 3.0 3.0240 0.0241 7.0 8.0 11.0 15.0242 1.0243 3.0 3.0244 0.0 4.0245 0.0 4.0246 4.0247 3.0 7.0 8.0 16.0248 4.0249 1.0 5.0250 4.0 8.0251 2.0 4.0252 2.0253 4.0 6.0 9.0 15.0254 2.0255 3.0 6.0256 3.0 6.0257 2.0 3.0258 1.0259 1.0 1.0 3.0 12.0260 0.0261 2.0 4.0262 2.0 9.0263 4.0 7.0264 3.0265 4.0 5.0 6.0 14.0266 1.0267 1.0 4.0268 3.0 8.0269 1.0 5.0

270 4.0271 0.0 0.0 2.0 13.0272 0.0273 2.0 5.0274 3.0 11.0275 3.0 8.0276 5.0277 2.0 3.0 3.0 9.0278 1.0279 0.0 1.0280 1.0 6.0281 1.0 5.0282 4.0283 1.0 1.0 3.0 7.0284 0.0285 2.0 2.0286 0.0 4.0287 3.0 4.0288 1.0289 2.0 5.0 7.0 11.0290 3.0291 2.0 4.0292 2.0 4.0293 2.0 2.0294 0.0295 2.0 3.0 5.0 17.0296 1.0297 2.0 6.0298 4.0 12.0299 3.0 8.0300 5.0301 4.0 4.0 5.0 14.0302 0.0303 1.0 4.0304 3.0 9.0305 4.0 6.0306 2.0307 3.0 3.0 4.0 14.0308 0.0309 1.0 4.0310 3.0 10.0311 2.0 7.0312 5.0313 6.0 7.0 8.0 12.0314 1.0315 1.0 1.0316 0.0 4.0317 3.0 4.0318 1.0319 2.0 5.0 5.0 12.0320 3.0321 0.0 3.0322 3.0 7.0323 1.0 4.0

324 3.0325 1.0 4.0 7.0 14.0326 3.0327 3.0 5.0328 2.0 7.0329 2.0 5.0330 3.0331 4.0 7.0 10.0 20.0332 3.0333 3.0 5.0334 2.0 10.0335 5.0 8.0336 3.0337 1.0 4.0 6.0 15.0338 3.0339 2.0 5.0340 3.0 9.0341 3.0 6.0342 3.0343 3.0 5.0 9.0 16.0344 2.0345 4.0 6.0346 2.0 7.0347 3.0 5.0348 2.0349 2.0 4.0 7.0 17.0350 2.0351 3.0 10.0352 7.0 10.0353 3.0 3.0354 0.0355 1.0 1.0 4.0 15.0356 0.0357 3.0 7.0358 4.0 11.0359 3.0 7.0360 4.0

766

t=10s xi 0 1 2 3 4 5 6Ni 58 79 95 70 29 16 4

58 79 95 70 29 16 8

t=20s xi 0 1 2 3 4 5 6Ni 5 11 23 33 30 34 15

5 11 23 33 30 34 15

t=30s xi 0 1 2 3 4 5 6Ni 0 1 5 11 14 21 15

1 2 5 11 14 21 15

t=60s xi 0 1 2 3 4 5 6Ni 0 0 0 0 0 2 2

0 0 0 0 0 2 2

7 8 95 4 0 360

5

7 8 9 10 1113 8 5 3 0 180

13 8 5 3

7 8 9 10 11 12 1315 7 14 9 4 2 2 12015 7 14 9 4 2 0 120

7 8 9 10 11 12 13 14 152 2 1 6 6 9 2 9 6

2 2 2 6 6 9 2 9 6

16 17 18 19 20 21 224 4 2 1 1 0 1 604 4 5

,

t=10sDate de intrare Prelucrarea datelor experimentalexi Ni fi f[%] f> f< xmed

0 58 0.161111 16 0.161111 1 01 79 0.219444 38 0.380556 0.838889 0.2194442 95 0.263889 64 0.644444 0.619444 0.5277783 70 0.194444 84 0.838889 0.355556 0.5833334 29 0.080556 92 0.919444 0.161111 0.3222225 16 0.044444 96 0.963889 0.080556 0.2222226 8 0.022222 99 0.986111 0.036111 0.1333337 5 0.013889 100 1 0.013889 0.097222

360 1 1 2.105556xmed

0 1 2 3 4 5 6 7 80

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

f>f

Modelare Validare models^2 P(X=x) Ni' Ni^2/Ni'0.714264 0.171053 61.5791 54.628930.268217 0.279046 100.4567 62.12628

0.00294 0.248302 89.38875 100.96350.155562 0.159571 57.44573 85.29790.289107 0.082828 29.818 28.204440.372347 0.036851 13.26639 19.296890.337038 0.014574 5.246554 12.198480.332716 0.005249 1.889634 13.230072.472191 0.997475 359.0908 375.9465

Distrib binomial-negativa

14.067 din tab 1,7 suport curs15.94649

11

o^^

0 1 2 3 4 5 6 7 80

0.05

0.1

0.15

0.2

0.25

0.3Distributii de frecvente si probabilitati

f

xi

f, P

(X=

x)

t=20sDate de intrare Prelucrarea datelor experimentalexi Ni fi f[%] f> f< xmed s^2

0 5 0.027778 2.78 0.027778 1 0 0.4991161 11 0.061111 8.89 0.088889 0.972222 0.061111 0.641082 23 0.127778 21.67 0.216667 0.911111 0.255556 0.6405023 33 0.183333 40.00 0.4 0.783333 0.55 0.2813884 30 0.166667 56.67 0.566667 0.6 0.666667 0.0095115 34 0.188889 75.56 0.755556 0.433333 0.944444 0.1094216 15 0.083333 83.89 0.838889 0.244444 0.5 0.2584597 13 0.072222 91.11 0.911111 0.161111 0.505556 0.5506038 8 0.044444 95.56 0.955556 0.088889 0.355556 0.6287099 8 0.044444 100.00 1 0.044444 0.4 1.007475

180 1 1 4.238889 4.626265

Debit orar, q [Vt/h] 766 k= 46.38427 k= 47tmed,q= 4.699739 p= 0.916266tmed= 2.359109 q=1-p 0.083734

0 1 2 3 4 5 6 7 8 9 100

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

f

Modelare Validare modelP(X=x) Ni' Ni^2/Ni'0.016406 2.953129 8.4655980.064567 11.62206 10.411240.129755 23.35592 22.64950.177461 31.94292 34.092060.185744 33.43393 26.918770.158642 28.55554 40.482520.115126 20.72265 10.857690.072988 13.1379 12.863550.041253 7.425613 8.618817

0.02111 3.799752 16.84320.983052 176.9494 192.2029

0 1 2 3 4 5 6 7 8 9 100

0.2

0.4

0.6

0.8

1

1.2

f>

t=30sDate de intrare Prelucrarea datelor experimentalexi Ni fi f[%] f> f< xmed s^2

0 1 0.008333 0.833333 0.008333 1 0 0.3109311 2 0.016667 2.5 0.025 0.991667 0.016667 0.4349182 5 0.041667 6.666667 0.066667 0.975 0.083333 0.7032673 11 0.091667 15.83333 0.158333 0.933333 0.275 0.8856594 14 0.116667 27.5 0.275 0.841667 0.466667 0.5185915 21 0.175 45 0.45 0.725 0.875 0.214976 15 0.125 57.5 0.575 0.55 0.75 0.0014677 15 0.125 70 0.7 0.425 0.875 0.0993848 7 0.058333 75.83333 0.758333 0.3 0.466667 0.208749 14 0.116667 87.5 0.875 0.241667 1.05 0.975536

10 15 0.125 100 1 0.125 1.25 1.893134 120 1 1 6.108333 6.246597

Debit orar, q [Vt/h] 766 k= 269.8589 270tmed,q= 4.699739 p= 0.977866tmed= 1.637108 q=1-p 0.022134

0 2 4 6 8 10 120

0.020.040.060.080.10.120.140.160.180.2

f

Modelare Validare modelP(X=x) Ni' Ni^2/Ni'0.002374 0.284821 3.5109770.014185 1.702162 2.3499520.042543 5.105115 4.8970490.085376 10.24515 11.810460.128975 15.47699 12.663960.156441 18.77294 23.491260.158708 19.04491 11.814180.138508 16.62093 13.537150.106152 12.73826 3.8466780.072577 8.709191 22.504960.044819 5.378328 41.834560.950657 114.0788 152.2612

0 2 4 6 8 10 120

0.2

0.4

0.6

0.8

1

1.2

f>

Sheet1Sheet2Sheet3Sheet4