Download Section 5.1 Introduction to Normal Distributions and THE Standard Normal Distribution

Section 5.1 Introduction to Normal Distributions and
THE Standard Normal Distribution
A normal distribution is a continuous probability distribution. A normal distribution
has the following properties.
1.
The mean, median, and mode are equal.
2.
The curve is bell-shaped and is symmetric about the mean.
3.
The total area under the curve is equal to 1.
4.
The curve approaches but never touches the x-axis.
5.
The curve has inflection points at    and    .
The standard normal distribution is a normal distribution with a mean of 0 and a
standard deviation of 1. The horizontal scale corresponds to z-scores.
Find areas under the standard normal curve.
To the left of z = 1.83
To the left of z = -0.49
To the right of z = -1.83
To the right of z = 0.49
To the right of z = 2.06
To the left of z = 2.06
Find the area under the standard normal curve.
Between z = 1.83 and z = 2.30
Between z = -1.37 and z = -0.49
Between z = -0.87 and z = 1.40
Between z = 0 and z = 1.40
Find the probability.
P(z > 1.92) =
P(z < 0.58) =
P( -1.65 < z < 0) =