Refer to the figure below in which surge protectors p and q are used to protect
ID: 2929954 • Letter: R
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 protector has a 0.91 probability of working correctly when a voltage surge occurs.
A. If the two surge protectors are arranged in series, What is the probability that a voltage surge will not damage the television?
blank? (DO NOT ROUND)
B. If the two surge protectors are arranged in parell what is the probability that a voltage surge will not damage the television? blank? (DO NOT ROUND)
Homework: Assignment 6 Score: 1 of 3pts lot 4 (2concele) mplete HW Score: 27.27%, 3 of 11 pts 4.2.31 eeno the taire below n-nach 5urge pretecors p 3nd aie used to protect an eipenerve each surge protector has a9T protatin, of werk ng correctly when a voitage surge occus Corps te part, (. U.Explanation / Answer
The probability that a voltage surge will work = 0.91
(a) if two surge protectors are arranged in series that means if it will fail to protect the television when both of the surge protector will fail.
so Pr(TV will not be demaged) = 1 - Pr(Both surge protector will fail)
= 1 - (1 - 0.91) * ( (1 - 0.91)
= 0.9919
(B) If the two surge protectors are arranged in parellel that means if any of the one will fail, TV will be demaged because the voltage would flow through the failed surge protector
Pr(Surge will protect the television) = 0.91 * 0.91 =0.8281