A system contains two components, A and B, connected in series, as shown in the diagram. A Assume A and B function independently. For the system to function, both components must function. If the...


A system contains two components, A and B, connected in series, as shown in the diagram.<br>A<br>Assume A and B function independently. For the system to function, both components must<br>function.<br>If the probability that A fails is 0.05, and the probability that B fails is 0.03, find the<br>probability that the system functions.<br>If both A and B have probability p of failing, what must the value of p be so that the<br>probability that the system functions is 0.90?<br>If three components are connected in series, and each has probability p of failing, what<br>must the value of p be so that the probability that the system functions is 0.90?<br>a.<br>b.<br>C.<br>

Extracted text: A system contains two components, A and B, connected in series, as shown in the diagram. A Assume A and B function independently. For the system to function, both components must function. If the probability that A fails is 0.05, and the probability that B fails is 0.03, find the probability that the system functions. If both A and B have probability p of failing, what must the value of p be so that the probability that the system functions is 0.90? If three components are connected in series, and each has probability p of failing, what must the value of p be so that the probability that the system functions is 0.90? a. b. C.

Jun 02, 2022
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