Question

HOMEWORK - what are the formula of different probability listributions like para poder kadar multiopia Neibutes con condital doilea Define also u o mean and standart devration,

Answer 1

Solution i Normal distribution let XNN CM, 82) 1 e 2oz (x-2y? = 0 291 -ocaco - col u Loo 070 Here mean I u Naciance = 82 S.D(x) = 5 2) Poisson Distribution vet & N PCA) p.m. f. of x 4 2001 P(x) = ax Hen mean =a variance = ; S.D(x) = 7 3) multinomial distribution. let X.MN (N, P. P... Px) let p.m.f.f x is P(X=X1, X2-2, .. Xx2xx) = 21 22 XK n! x=0.1. n 211... ak! Exin no Here mean = E(Xi) = n Pi variance = v(xi) = npi (t-Pi) S.D (X) = Inpi (t-P;).

4 uniform leta Nucaib) #rx)=ba a<x<b acb mean - atb variance = (b-as2, so = (b-a) 12 . 5) exponential let & N exp(x) p.d.f. of x is f(x) = xe ax n70,270 Here mean = 1/2 variance= 4122 ; (3.0 = 11 5) leox Weibull distribution Let & NWBKA) p. d. f. qx is Here $(2) = x ( 2 kt (alajk 20 mean = a (talk) vaianie = [5(+218) - (5 (+(+)577 mean = faciance o S.D' dome v Ir (774K) - (r (4+42173 A I 77k