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.

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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.
Transcribed Image 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.
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