For a particular disease, the probability that a patient passes away within the xth year is given by the following table: xx P(x)P(x) 0 0.016 1 0.031 2 0.256 3 0.298 4 0.35 5 0.028 6 0.021
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.
For a particular disease, the probability that a patient passes away within the xth year is given by the following table:
| xx | P(x)P(x) |
|---|---|
| 0 | 0.016 |
| 1 | 0.031 |
| 2 | 0.256 |
| 3 | 0.298 |
| 4 | 0.35 |
| 5 | 0.028 |
| 6 | 0.021 |
This means that the probability that someone passes away within the first year is 0.016. The probability that they pass away after one year would be 0.031.
What is the mean number of years someone survives? (round to two decimal places)
What is the standard deviation for the number of years someone survives? (round to two decimal places)
The
In your own words, interpret what the Range Rule of Thumb tells us about this disease. (If you don't remember what the Range Rule of Thumb is, review the heading "Unusual Values" in the Learning Activities.)
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