An electrical circuit contains two switches, labeled ―A‖ and ―B,‖ which are connected in parallel; i.e.,...

An electrical circuit contains two switches, labeled ―A‖ and ―B,‖ which are connected in parallel; i.e., the circuit functions if either (or both) of the two switches functions. The probability that switch A functions is 3/4. However, the switches do not operate independently. If switch A functions, then switch B functions with probability 8/9. If switch B functions, then switch A functions with probability 4/5. (a) What is the probability that both switches function? (b) What is the probability that switch B functions? (c) What is the probability that the electrical circuit functions? (d) Given that the electrical circuit functioned, what is the probability that switch B functioned?

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orchestra answered 2 years ago

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