contoh soal probabilitas log normal

Perhitungan Distribusi Log-Normal

i P Xi Log Xi ( Log Xi - Log X )²

1 9.091 72.67 1.861 0.005

2 18.182 74.33 1.871 0.003

3 27.273 82.17 1.915 0.000

4 36.364 83.17 1.920 0.000

5 45.455 87.17 1.940 0.000

6 54.545 89.17 1.950 0.000

7 63.636 89.17 1.950 0.000

8 72.727 89.17 1.950 0.000

9 81.818 91.33 1.961 0.001

10 90.909 92.50 1.966 0.001

850.833 19.285 0.012

85.083 1.928

Perhitungan Curah Hujan Rancangan Distribusi Log-Normal

Tr Log X k Log S Log X_TR X_TR

1 2 3 4 5 6

2 1.928 -0.010 0.037 1.928 84.749

5 1.928 0.840 0.037 1.959 91.045

10 1.928 1.289 0.037 1.976 94.558

20 1.928 1.662 0.037 1.989 97.578

50 1.928 2.085 0.037 2.005 101.118

100 1.928 2.400 0.037 2.016 103.837

Jumlah X

Perhitungan Interpolasi Faktor frekuensi k untuk distribusi log normal

2 5 10 20 50 100

0.0500 -0.0250 0.8334 1.2965 1.6863 2.1341 2.4570

0.0190 -0.0097 0.8403 1.2895 1.6625 2.0852 2.4000

0.1000 -0.0496 0.8222 1.3078 1.7247 2.2130 2.5489

Log S 0.0366099

Cv 0.0189837

m n+1

Periode Ulang (K) Cv

x 100%