Standard Normal Distribution

A density curve must satisfy the following properties:

1. The total area under the curve must = 1. And, 2. Every point on the curve must have a vertical height that is 0 or greater.

A _________ has a uniform distribution if its values are spread evenly over the range of probabilities.

Continuous random variable

A _______ is the graph of continuous probability distribution

Density curve

A _____ uses the area of rectangles to represent the probability of each outcome.

Discrete probability histogram

The ____________ is a normal probability distribution with μ = 0 and σ = 1.

Standard normal distribution

This is designed only for the standard normal distribution which has a mean of 0 and a standard deviation of 1.

Table A2

for the standard normal distribution, a _______ is a z-score separating unlikely values from those that are likely to occur.

critical value

P( a < z <b )

denotes the probability that the z score is between a and b

P( z > a )

denotes the probability that the z score is greater than a.

P( z < a )

denotes the probability that the z score is less than a.

A distribution is uniform if:

every outcome represented by the random variable has the same probability of occuring.

The graph of a uniform distribution results in a _________ shape.

rectangular

A distribution is _______ if every outcome represented by the random variable has the same probability of occurring.

uniform

the expression ______ denotes the z score with an area of α to its right.

zα