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Packergood
26.02.2020 •
Mathematics
An internet search engine looks for a certain keyword in a sequence of independent web sites. It is believed that 20% of the sites contain this keyword. (a) Compute the probability that at least 5 of the first 10 sites contain the given keyword. (b) Compute the probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword.
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Ответ:
p = 3
q = 2
Step-by-step explanation:
they have infinitely many solutions, if they are basically the same equations. in other words, when they can be combined/reduced into a statement of tautology, a statement that is always true, no matter what.
like 15 = 15 or 8x = 8x
now we need to aim for creating the same (or multiples of the same) factors in the original equation 2 as in the original equation 1.
in other words we find the p and q, where we get the same ratios between the factors of squadron 1 and equation 2.
2/(p+q+1) = 3/(p+2q+2) = 7/(4p +4q +1)
p+q+1 = 2/3 × (p+2q+2) = 2/7 × (4p + 4q + 1)
3p + 3q + 3 = 2p + 4q + 4 = 6/7 × (4p+4q+1)
21p + 21q + 21 = 14p + 28q + 28 = 24p + 24q + 6
7p - 7q = 7
p - q = 1
p = 1 + q
14(1+q) + 28q + 28 = 24(1+q) + 24q + 6
14 + 14q + 28q + 28 = 24 + 24q + 24q + 6
42 + 42q = 30 + 48q
12 = 6q
q = 2
p = 1 + 2 = 3