Describing Random Algorithm, Computer Engineering

Describing Random Algorithm, Computer Engineering

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Suppose you''re given n numbers and asked to find a number that is greater than or equal to the median

a) What is the lower bound for the worst case complexity of this problem?

b) Describe a random algorithm that returns a valid result with probability p=1/2 ? ( Do not write a C/C++ Code, just describe)

c) For this problem, 1/2 is clearly not an acceptable probability. Describe a way to amplify this probability by calling the random algorithm you proposed at part b as a subroutine several times. Analytically how does it increase the probability p?

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