Question

A company uses two machines to produce medical devices. Machine A produces 60% of the products and 1% percent of those products are defective. Machine B produces the remaining 40% of the products and 5% are defective. Given that a defective device is found, what is the probability that it was produced by Machine A.

Name: a company uses two machines to produce medical devices machine a produces 60 of the products and 1 percent of those products are defective machine b produces the remaining 40 of the products 19597
Uploaded: 2023-09-19T06:19:59-08:00
Duration: 2 min 10 s
Channel: Adi S
Description: a company uses two machines to produce medical devices machine a produces 60 of the products and 1 percent of those products are defective machine b produces the remaining 40 of the products 19597

          A company uses two machines to produce medical devices.
 Machine A produces 60% of the products and 1% percent of
those products are defective.  Machine B produces the
remaining 40% of the products and 5% are defective.  Given
that a defective device is found, what is the probability that it
was produced by Machine A.

Added by Paula L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

09/19/2023

Step 1

Define the events: - A: the device was produced by Machine A - B: the device was produced by Machine B - D: the device is defective Show more…

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A company uses two machines to produce medical devices. Machine A produces 60% of the products and 1% percent of those products are defective. Machine B produces the remaining 40% of the products and 5% are defective. Given that a defective device is found, what is the probability that it was produced by Machine A.