Question

3. Consider the system in the diagram. Subsystem A functions with probability 0.8 and Subsystem B functions with probability 0.6. The entire system functions if either A or B function. Moreover, A and B are independent of each other. a. (3 points) What is the probability that both Subsystem A and Subsystem B function? c. (3 points) What is the probability that neither Subsystem A nor Subsystem B function? d. (3 points) What is the probability that the entire system functions?

Answer #1

3)

a)

Required probability =

b)

Required probability =

c)

Required probability =

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