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

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Director
Joined: 07 Nov 2004
Posts: 683
There is a 90% chance that a registered voter in Burghtown [#permalink]

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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%
Director
Joined: 21 Sep 2004
Posts: 607

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30 Nov 2004, 10:42
using Binomial Theorem

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

5C4 (.90)^4 (0.1)

=.328
=32.8%
Director
Joined: 31 Aug 2004
Posts: 607

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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.
30 Nov 2004, 10:45
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