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Asearch engine goes through a list of sites for a given key phrase, and terminates as soon as the key phrase is found

Statistics Nov 18, 2020

Asearch engine goes through a list of sites for a given key phrase, and terminates as soon as the key phrase is found. Each site has a 60% chance of containing the key phrase.

(a) What is the probability of finding the key phrase in the third site? (b) How many sites, on average, will need to be searched in order to find the key phrase?

(c) What is the minimum number of sites that will need to be searched to be 99% sure of finding the key phrase?

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