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There is a 90% chance that a registered voter in Burghtown

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There is a 90% chance that a registered voter in Burghtown [#permalink] New post 30 Nov 2004, 10:34
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There is a 90% chance that a registered voter in Burghtown voted in the last election. If five registered voters are chosen at random, what is the approximate likelihood that exactly four of them voted in the last election?


A) 26.2%

B) 32.8%

C) 43.7%

D) 59.0%

E) 65.6%
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 [#permalink] New post 30 Nov 2004, 10:42
answer is B.
using Binomial Theorem

nCr(p)^r (q)^n-r

5C4 (.90)^4 (0.1)

=.328
=32.8%
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 [#permalink] New post 30 Nov 2004, 10:45
In using Bernoulli

5C4.(0.9)^4.(1-0.9)^1 = 5*0.1*0.6561=0.328 id est 32.8%

B it is.
  [#permalink] 30 Nov 2004, 10:45
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