Question

a paylaşıyor. ability Distributions pot Classroom Practice-z Open with Google Slides - An electronic circuit has one of each of two different types of components in joint operation. Let X1 and X, denote the lifetimes of these components. Assume the following joint probability density function. f(x1, xy) = {(1/8)x, e-(x+x)/2 X, > 0, x2 > 0 elsewhere a) Are X, and X, independent? b) Find P(x > 1|X2 = 2) and P(X > 1,X, > 1). Page 23 / 31 - +

Answer 1

2 f (*1,83) = Ş Du ēs uzzo OIL, 2470 (a) are X and X2 are independent ? first we find marginals of e, and "e2. f(44) = jo zyé že v drez - 2ė El) letto A fixey = 14 eur 4430 01w, similarly if (2) = {m et ma'suz 1270 [ 0 Orvo, it se and na are independent iff tox, H2) = fere). Teras femur), fex) = ( 2Cores # feny Hz) hence me and my are not independent. b) f(x4/72] = y ē (ute) drz ez e ka permane, in - uri z dny zde) - ze 14-18mm Pe . éź 2012 nów (19/82=2) =j me nxo L. q olo. How P ( x, 71/X2=2) = 4x et de 1 = 2 et Aug = ti [2643 € )0721,90 € Ždren] -[-2 (nume antero-4 lėjo [2 (0-21-460-éd) Samsung Tprx,711x2= 2 = 2 2 Ang AUSSIDI O NEW DOILII LUI .