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Q. 104

Expert-verifiedFound in: Page 227

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

Use the information in the Table $3.19$ to answer the next eight exercises. The table shows the political party affiliation of each of $67$ members of the US Senate In June $2012$. and when they are up freelection.

What is the probability that a randomly selected is a Republican or is up for reelection in November $2014$?

The probability of the randomly selected Republican or reelection in November $2014$is $P(R\cup U)=0.85\text{.}$

The table shows the political party affiliation of each of $67$ members of the US Senate In June $2012$. and when they are up freelection.

The total as:

The chance of Republican winning reelection in November $2014$ is computed as follows:

Let R $\cup $U be the probability.

$P(R\cup U)=P\left(\text{republican}\right)+P\left(\begin{array}{l}up\text{for reelection}\\ \text{in}2014\end{array}\right)-P(R\cap U)\phantom{\rule{0ex}{0ex}}=\frac{37}{67}+\frac{33}{67}-\frac{13}{67}\phantom{\rule{0ex}{0ex}}=\frac{70}{67}-\frac{13}{67}\phantom{\rule{0ex}{0ex}}=\frac{57}{67}\phantom{\rule{0ex}{0ex}}=0.85$

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