Normal Distribution Concepts and Properties

To find the areas of the regions under the normal curve that correspond to the ______ value, simply find the area of the given z-value using the z-Table.

The area that corresponds to z = 0.60 is found at the intersection of ______ and .00 in the z-Table.

The z-Table is also known as the Table of ______ under the Normal Curve.

The area that corresponds to z = -1.47 is ______.

The z-score is also known as the ______ score.

To find the area that corresponds to a given z-score, one needs to express the z-score into ______ decimal form.

The area under the standard normal curve can be found between ______ and ______ values of z-score.

The z-Table is used to find the area that corresponds to a given ______ value.

In 1733, Abraham de Moivre first discovered the ______ distribution.

The normal distribution refers to a ______ probability distribution.

The tails of the curve flatten out indefinitely along the ______ axis.

The total area under the normal curve is equal to ______ or 100%.

The normal curve is often called the ______ Distribution.

A random variable X whose distribution has the shape of a ______ curve is called a normal random variable.

A change in the value of the ______ shifts the graph of the normal curve to the right or left.

The normal distribution has a ______ peak.

A large standard deviation means that the distribution is rather ______ out, with some chance of observing values at some distance from the mean.

The curve is ______ about its center.

The standard normal curve is a normal probability distribution that has a ______ µ=0 and a standard deviation σ=1 unit.

The mean, median and mode coincide at the ______.

About ______ of the area under the curve falls within 1 standard deviation from the mean.

The Empirical Rule is also called as the ______ Rule.

The width of the curve is determined by the ______ deviation of the distribution.

The standard normal curve is a normal probability distribution that has a mean µ=0 and a standard deviation σ=______ unit.

The probability notation P ( z < a ) reads as the probability of z being ______ than a.

The probability notation P ( z > a ) reads as the probability of z being ______ than a.

The probability notation P ( a < z < b ) reads as z is ______ a and b.

In Example 1, the probability of the area below z = 0.50 is ______.

In Example 2, the probability of the area that is at least z = -2 is ______.

In Example 3, the area of interest is between z = -1.5 and z = ______.

To find the probability of the area below z = 0.50, the z-Table is consulted to find the area that corresponds to z = ______.

A ______ score is a measure of relative standing that tells how many standard deviations either above or below the mean a particular value is.

In Example 2, the probability notation P (z > -2.00) is equal to 1 - P(z ______ -2).

The scores represent the distances from the center measured in ______ units.

The areas under the normal curve are given in terms of ______ values or scores.

The raw score X is above the mean if ______ is positive and it is below the mean when ______ is negative.

X = the given measurement of a normal random _______,

µ represents the population ______.

σ represents the population ______ standard deviation.

The z-score is also known as the STANDARD ______.