Parts A company manufacturing electronic components for home entertainment systems buys electrical connec-tors from three suppliers. The company prefers to use supplier A because only 1% of those connectors proveto be defective, but supplier A can deliver only 70% of the connectors needed. The company must also pur-chase connectors from two other suppliers, 20% from supplier B and the rest from supplier C. The rates of defective connectors from B and C are 2% and 4%, re-spectively. You buy one of these components, and when you try to use it you find that the connector is defective.What’s the probability that your component came fromsupplier A?

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Parts A company manufacturing electronic components
for home entertainment systems buys electrical connec-
tors from three suppliers. The company prefers to use
supplier A because only 1% of those connectors prove
to be defective, but supplier A can deliver only 70% of
the connectors needed. The company must also pur-
chase connectors from two other suppliers, 20% from
supplier B and the rest from supplier C. The rates of
defective connectors from B and C are 2% and 4%, re-
spectively. You buy one of these components, and when
you try to use it you find that the connector is defective.
What’s the probability that your component came from
supplier A?
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