Question

28. An electronic system is composed of three components (o1. 92, and o), each of which operates independently of the other two. The electronic system has two paths available from node A to node B. C1 C2 Information is thus able to be transmitted from A to B, provided that at least one path is in operation (either 1 is operative or both o2 and c3 are in operation simultaneously). Given: P(o is in operation)0.9 P(c2 and c3 are in operation) 0.81. Pand og are in operation)0.729 (a) Let x denote the number of paths in operation from A to B. Find the probability distribution of x. (b) Find the mean valae of x. (o) Find the variance and standard deviation of x.

Answer 1

The value of χ tan beoe, 1 eg, 2 C, us C2 and c3 ase um叶eintan atlanst C2 and Ca ale un he = (1-04) (1-08.) P(r=0) = 0.019 ility et χ-2 Px2 0.729

it psebability 0.252 2 laith ptobobility 0-720 1.7 Meon 229 : 3.168 = 3.168-1-71 0 2439