Section 5.1 Introduction to Normal Distributions
and the Standard Normal Distribution
Properties of a Normal Distribution
Continuous random variable has an infinite number of possible values that can
Section 3.4 Additional Topics in Probability and Counting
A permutation is an ordered arrangement of objects. The number of different permutations of n distinct
objects is .
n!
EXAMPLE 1: Finding the
Section 5.2 Normal Distributions: Finding Probabilities
If a random variable x is normally distributed, you can find the probability that x will fall in a given interval
by calculating the area under
Section 4.1 Probability Distributions
A random variable x represents a numerical value associated with each outcome of a probability
experiment.
A random variable is discrete if it has a finite or cou
Section 4.2 Binomial Distributions
A binomial experiment is a probability experiment that satisfies the following conditions:
o The experiment is repeated for a fixed number of trials, where each tria
Section 6.1 Confidence Intervals for the Mean ( Known)
ESTIMATING POPULATION PARAMETERS an important technique of statistical inference to use sample
statistics to estimate the value of an unknown pop
Section 4.3 More Discrete Probability Distributions
Suppose that you toss a coin until you toss heads. You want to know the probability that the first head
you will get will occur on the 3rd toss. Thi
Section 5.4 Sampling Distributions and the Central Limit Theorem
Sampling distribution
the probability distribution of a sample statistic
formed when samples of size n are repeatedly taken from a po
Section 3.3 The Addition Rule
Two events A and B are mutually exclusive if A and B cannot occur at the same time.
Here are Venn Diagrams showing this concept:
EXAMPLE 1: Mutually exclusive events
Deci
Section 5.3 Normal Distributions: Finding Values
Section 5.2: We were given a normally distributed random variable x and were asked to find a probability.
Section 5.3: We will be given a probability a
Section 2.5 Measures of Position
QUARTILES
Quartiles: approximately divide an ordered data set into four equal parts.
First quartile, Q1 : About one quarter of the data fall on or below Q1 .
Second qu
Section 3.2 Conditional Probability and the Multiplication Rule
A conditional probability is the probability of an event occurring, given that another event has already
occurred. The conditional proba
Section 2.3 Measures of central tendency
DEFINITIONS
Measure of central tendency a value that represents a typical, or central, entry of a data set
Most commonly used measures of central tendency
Mea
Section 1.1 An Overview of Statistics
DEFINITIONS
Data consist of information coming from observations, counts, measurements, or responses.
Statistics the science of collecting, organizing, analyzing,
Section 2.4 Measures of Variation
DEFINITION
Range the range of a data set is the difference between the maximum and minimum data entries in
the set. To find the range, the data must be quantitative.
Section 2.1 Frequency Distributions and Their Graphs
DEFINITION
Frequency distribution a table that shows classes or intervals of data entries with a count of the
number of entries in each class. The
Section3.1 Basic Concepts of Probability and Counting
A probability experiment is an action, or trial, through which specific results (counts, measurements, or
responses) are obtained. The result of a
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