A relatively new breed of cat that first appeared in China frequently suffers from joint problems. Particularly, if the front legs of a cat are too short or too long this happens. The front leg length follows a Normal distribution mean 25 cm and variance 5 cm. If the problem occurs when the legs are shorter than 19 cm and longer than 30 cm, what proportion of cats have this problem? O A. 0.956 O B. 0.016 O C. 0.274 O D. 0.991
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.
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