a. P(affiliated with neither party) b. P(worse): c. P(worse affiliated with neither party)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![A CBS News poll involved a nationwide random sample of 651 adults. Participants were asked about their party affiliation (Democrat, Republican, or none) and their opinion on how the U.S. economy was changing ("getting better," "getting worse," or "about the same"). The results are summarized in the table below.
| | Better | Same | Worse |
|--------------------|--------|------|-------|
| Republican | 38 | 104 | 44 |
| Democrat | 12 | 87 | 137 |
| None | 21 | 90 | 118 |
If we randomly select one of the adults who participated in this study, compute the following probabilities (round to four decimal places):
a. P(affiliated with neither party) =
b. P(worse) =
c. P(worse | affiliated with neither party) =
d. P(affiliated with neither party | worse) =
e. P(affiliated with neither party and worse) =
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