In: Statistics and Probability
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?