An internet search engine looks for a certain keyword in asequence of independent websites. It is believed that 35% of thesites contain this keyword.
(a) Let X be the number of websites visited until the firstkeyword is found. Compute the probability that the search enginehad to visit at least 10 sites in order to find the firstoccurrence of the keyword.
(b) Out of the first 25 websites, let Y be the number of sitesthat contain the keyword. Compute the probability that at least 10of the first 25 websites contain the keyword.
