Consider the following system with assigned probabilities of

Consider the following system with assigned probabilities of malfunction for the five components. Assume that malfunctions occur independently. What is the probability the system does not malfunction?

Solution

Since, malfunctions occur indepently,

Probability that system does not malfunction = (1-0.1)^2*(1-0.2)^2 *(1-0.3)^1 = 0.36 Answer