Democratic and Republican presidential state primary elections differ in the way winning candidates are awarded delegates. In Republican states, the winner is awarded all the state's delegates; conversely, the Democratic state winner is awarded delegates in proportion to the percentage of votes. This difference led to an article on making your vote count. Consider a scenario where you are one of five county commissioners voting on an issue, where each commissioner is equally likely to vote for or against. Complete parts a and b below. a. Your vote (the decisive vote) counts only if the other four voters split, 2 in favor and 2 against. Use the binomial distribution to find the probability that your vote counts. The probability that your vote counts is 0.375 (Type integer or a decimal. Do not round.) b. If you convince two other commissioners to "vote in bloc" (all agree to vote among yourselves first, and whatever the majority decides is the way all three will vote, guaranteeing that the issue is decided by the bloc), then your vote counts only if these 2 other commissioners split their bloc votes, 1 in favor and 1 against. Again, use the binomial distribution to find the probability that your vote counts.

MATLAB: An Introduction with Applications
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Democratic and Republican presidential state primary elections differ in the way winning candidates are awarded delegates. In Republican states, the winner is awarded all the state's delegates; conversely, the Democratic state winner is awarded delegates in proportion to the
percentage of votes. This difference led to an article on making your vote count. Consider scenario where you are one of five county commissioners voting on an issue, where each commissioner is equally likely to vote for or against. Complete parts and b below.
a. Your vote (the decisive vote) counts only if the other four voters split, 2 in favor and 2 against. Use the binomial distribution to find the probability that your vote counts.
The probability that your vote counts is 0.375.
(Type an integer or a decimal. Do not round.)
b. If you convince two other commissioners to "vote in bloc" (all agree to vote among yourselves first, and whatever the majority decides is the way all three will vote, guaranteeing that the issue is decided by the bloc), then your vote counts only if these 2 other commissioners
split their bloc votes, 1 in favor and 1 against. Again, use the binomial distribution to find the probability that your vote counts.
The probability that your vote counts is.
(Type an integer or a decimal. Do not round.)
Transcribed Image Text:Democratic and Republican presidential state primary elections differ in the way winning candidates are awarded delegates. In Republican states, the winner is awarded all the state's delegates; conversely, the Democratic state winner is awarded delegates in proportion to the percentage of votes. This difference led to an article on making your vote count. Consider scenario where you are one of five county commissioners voting on an issue, where each commissioner is equally likely to vote for or against. Complete parts and b below. a. Your vote (the decisive vote) counts only if the other four voters split, 2 in favor and 2 against. Use the binomial distribution to find the probability that your vote counts. The probability that your vote counts is 0.375. (Type an integer or a decimal. Do not round.) b. If you convince two other commissioners to "vote in bloc" (all agree to vote among yourselves first, and whatever the majority decides is the way all three will vote, guaranteeing that the issue is decided by the bloc), then your vote counts only if these 2 other commissioners split their bloc votes, 1 in favor and 1 against. Again, use the binomial distribution to find the probability that your vote counts. The probability that your vote counts is. (Type an integer or a decimal. Do not round.)
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