Water use in the summer is normally distributed with a mean of 300 million gallons per day and a standard deviation of 50 million gallons per day. City reservoirs have a combined storage capacity of 350 million gallons. If, P(X>x)=0.84 => P(Z<b) = a, what is the value of a? Here b would be standardized value from x. Please report your answer in 2 decimal places.
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.
Water use in the summer is
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