Question

3) If 40% of the voters in a city are registered Republican, what is the probability that a random sample of eight voters includes at least two Republicans?

Answer 1

The probability that a random sample of 8 voters include at least 2 republicans is given by

$P(X \geq 2)$

$\bg_white = 1 - [\binom{8}{0}0.40^0(1- 0.40)^{8-0} + P(\binom{8}{1}0.40^1(1-0.40)^{8-1}]$

=l-0.1064

$\bg_white = 0.8936$

Thank You!! Please Upvote!!