The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. %3D
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.
![The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 6 days.
Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4
decimal places where possible.
a. What is the distribution of X? X - N(
b. Find the probability that a randomly selected person with a kidney stone will take longer than 15 days to
pass it.
c. Find the minimum number for the upper quarter of the time to pass a kidney stone.
days.
Hint:
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• Find a Probability [+]
• Finding a Value Given a Probability [+]
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As given,
- The mean amount of time it takes to pass a kidney stone is 12 days.
- The standard deviation is 6 days.
Let X = time to pass the kidney stone
It is asked to find the distribution of X.
- Hence, The distribution of X is X ~ N ( 12 , 6 )
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