(a) Suppose a mechanic begins to diagnose the problem by checking the spark plugs first and find them to be bad. With this information, what is the probability that the wires are also bad? (b) If the sparks plugs are found to be good, what is the probability that wires are bad?

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#2. In automotive repair, experience has shown that a rough-running engine can be attributed to
bad ignition wires 35% of the time, bad spark plugs 80% of the time, and both 20 % of the
time.
(a) Suppose a mechanic begins to diagnose the problem by checking the spark plugs first
and find them to be bad. With this information, what is the probability that the wires
are also bad?
(b) If the sparks plugs are found to be good, what is the probability that wires are bad?
Transcribed Image Text:#2. In automotive repair, experience has shown that a rough-running engine can be attributed to bad ignition wires 35% of the time, bad spark plugs 80% of the time, and both 20 % of the time. (a) Suppose a mechanic begins to diagnose the problem by checking the spark plugs first and find them to be bad. With this information, what is the probability that the wires are also bad? (b) If the sparks plugs are found to be good, what is the probability that wires are bad?
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