Question

In: Statistics and Probability

Samsung manufactures flash devices for use in products. Samsung has two fabrication plants. The plant located...

Samsung manufactures flash devices for use in products.
Samsung has two fabrication plants.
The plant located in Texas is responsible for 3/5 of the units, and the rest of the flash devices are manufactured in South Korea. Due to some impurity in the silicon, some flash devices are slow.
It has been reported that 1/3 of the flash devices produced in Texas are slow and hence
considered defective. Furthermore, a study shows that a total of 3/10 of the units produced
by Samsung are slow and defective.
(a) If a customer purchases a flash device from Samsung, what is the probability
that this flash device comes from South Korea?
(b)Using the information given above, find the probability that a flash device is
slow given that it is coming from South Korea.
(c)Two flash device are purchased from different distributors. What is the
probability that they were both produced in South Korea?
(d)Again, two flash devices are purchased from different distributors. What is
the probability that only one of them is slow?
(e)Suppose you have two flash device and they came from different plants.
Moreover, one is slow and the other one works normally. What is the probability that
the slow one was manufactured in Texas?

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