Consider the probability density function of a random variable that is normally distributed. The center of this distribution is called the , and the measure of the dispersion of this random variable is called the .

The center of this distribution is called the mean, and the measure of the dispersion of this random variable is called the standard deviation.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a normal distribution,

We have two measures, the mean(center), and standard deviation(dispersion). So

The center of this distribution is called the mean, and the measure of the dispersion of this random variable is called the standard deviation.

x = -5

step-by-step explanation:

10 - 75

step-by-step explanation:

there's nothing attached so it's most likely anything in that range.