3) If 40% of the voters in a city are registered Republican, what is the probability...

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3) If 40% of the voters in a city are registered Republican, what is the probability that a random sample of eight voters inc

math Statistics-And-Probability

Answer 1

Answer #1

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

$P(X \geq 2)$

= 1 - P(X < 2)

= 1 - [P(X = 0) + P(X = 1)]

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

$\bg_white = 1 - 0.1064$

$\bg_white = 0.8936$

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Answer 2

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