[理工] [機率統計] 99清大資應機率論
今年清大資應的機率論考題
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1.The probability that any paticular hard disk will fail during its Kth
year of use is given by the probability mass function for K.
P(K) = p * (1-p) ^ (K-1) ,K=1,2,3,...
(1)Four hard disks are tested simultaneously.Determine the probability that
none of the four disks fails during its first year of use.
(2)Four hard disks are tested simultaneously.Determine the probability that
exactly two hard disks have faild by the end of the third year.
(3)Four hard disks are tested simultaneously.Determine the probability that
exactly one hard disk fails during each of the first three years.
(4)Four hard disks are tested simultaneously.Given that one hard disk has
failed by the end of the first year,determine the probability that
exactly two hard disks have failed by the end of the third tear.
(5)Suppose that during the first three years the probability that a hard
disk will fail is 0.488.What is the probability that a hard disk will
fail during its first year of use?
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