Posted by **Matt** on Sunday, May 13, 2012 at 6:58pm.

The probability that a voting-age adult in 2004 voted in the presidential election was 0.57. Five voting-age adults in 2004 were randomly selected. Find the probability that exactly 2 or the 5 adults voted in the presidential election.

- MATH -
**Reiny**, Sunday, May 13, 2012 at 9:35pm
prob(voting) = .57

prob(not voting) = .43

prob(2 of 5 voted)

= C(5,2) (.57)^2 (.43)^3

= .2583

- MATH -
**MathMate**, Sunday, May 13, 2012 at 9:36pm
p=probability of voting

q=(1-p)=probability of not voting.

Out of 5 adults randomly selected, the probability that exactly 2 voted is calculated according to the binomial expansion,

C(5,2)p^2q^3

=(5!/(2!3!))*0.57^2*0.43^3

=0.258 (approx.)

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