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In: Statistics and Probability

A company manufactures computers, whose hard disk has a capacity of 20 GB and others of...

A company manufactures computers, whose hard disk has a capacity of 20 GB and others of 30 GB. In the previous month, 35% of the computers sold were those with a 20 GB hard drive. Of buyers of computers with a 20 GB hard drive, 45% buy those with 356 MB of RAM, while 30% of buyers of computers with a 30 GB hard drive also do so.
(a) What is the probability that a randomly selected computer will have a 20 GB hard drive and 356 MB RAM?
(b) What is the probability that 5 of 23 randomly selected computers have a 20GB hard drive and 356MB RAM?
(c) What is the probability that the randomly selected computer has a 30 GB hard drive and 356 MB RAM?
(d) What is the probability that 7 out of 23 randomly selected computers have a 30 GB hard drive and 356 MB RAM?
(e) What is the probability that exactly 6 out of 23 randomly selected computers have 356 MB of RAM?

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