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