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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: 692
Followers: 4

Kudos [?]: 30 [0], given: 0

There is a 90% chance that a registered voter in Burghtown [#permalink]  30 Nov 2004, 09:34
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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: 614
Followers: 1

Kudos [?]: 7 [0], given: 0

using Binomial Theorem

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

5C4 (.90)^4 (0.1)

=.328
=32.8%
Director
Joined: 31 Aug 2004
Posts: 606
Followers: 3

Kudos [?]: 47 [0], given: 0

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.
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