Refer to the figure below in which surge protectors p and q are used to protect

Question

Refer to the figure below in which surge protectors p and q are used to protect an expensive high-definition television. If there is a surge in the voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.97 probability of working correctly when a voltage surge occurs. Complete parts (a) through (c) below. Series Configuration Parallel Configuration a. If the two surge protectors are arranged in series, what is the probability that a voltage surge will not damage the television? (Do not round.)

Explanation / Answer

Since they are in series connection. So, probability that both will work correctly = pq

p=0.97,q=0.97

So, probability = 0.97*0.97=0.9409

Probability = 0.9409

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