Given a normally distributed population with mear '5 and variance 625, find: . Р(50 90) ii. P(X < 60) V. Р(30 < X < 110)
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.
![Exercise 3
Given a normally distributed population with mean of
75 and variance 625, find:
i. P(50 < X < 100)
ii. P(X > 90)
ii. Р(X < 60)
iv. P(30 < X < 110)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9945e853-d5a7-4e74-864c-723abf23c1f0%2F09682eea-12f6-4324-a18f-194860c1c118%2Fmjmkyyy_processed.png&w=3840&q=75)
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