Question: A circuit S consisting of six independent elements E1,... E6 is connected as in Figure 1. The elements are operational during time interval T with

A circuit S consisting of six independent elements E1,... E6 is connected as in Figure 1. The elements are operational during time interval T with probabilities.

a) Find the probability that the circuit is operational during time interval T.

b) If the circuit was found operational at the time T, what is the probability that the element E6 was operational.

A circuit S consisting of six independent elements E1,... E6 is connected

1. Circuit. A circuit 5' consisting of six independent elements E1, . . . , E6 is connected as Figure 1: Circuit S with six independent elements in Figure 1. The elements are operational during time interval T with probabilities E1 E2 E3 E4 E5 E6 E7 Probability ofworking(p) 0.5 0.7 0.3 0.4 0.9 0.5 0.7 (a) Find the probability that the circuit is operational during time interval T. (b) If the circuit was found operational at the time T, What is the probability that the element E5 was operational

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