Math 304 Test #1 Review Suggestions
-Know how to find a sample standard deviation.
-Know how to find a suitable sample space for an experiment.
-What is a simple event?
-What is an event?
-What is meant by the event A or B?
-What is meant by the event A and B?
-Find the number of elements in a sample space. This is particularly
important for sample spaces too large to large for you to list all the
elements.
-Find the number of permutations of n distinct objects chosen r at a time.
-Find the number of distinct permutations of n objects when some of the
objects are of one kind and some are of another kind, etc.
-Find the number of combinations of n distinct objects chosen r at a time.
-Know the properties of probabilities.
-Know how to apply counting techniques in finding probabilities.
-Know how to use the addition rule for two or three events. Sometimes Venn
diagrams can be useful on this.
-What are mutually exclusive events?
-Know how to describe the complement of an event.
-Know how to apply the complement rule in finding probabilties.
-Know how conditional probability is defined and how to find a conditional
probability.
-Know how to apply the multiplication rules.
-What are independent events? What effect does independence have on
probability of an event A and B?
-Know how to apply Bayes’ Theorem.
-What is a discrete random variable?
-What is a continuous random variable?
-What are the properties of discrete random variables?
-What are the properties of continuous random variables?
-Know the properties of probability distribution function of discrete random
variables.
-Know the properties of probability density functions of continuous random
variables.
-Know how cumulative distribution functions are defined in both the
discrete and continuous cases.
-Know the properties of joint probability distribution of discrete random
variables.
-Know how to find marginal distributions in both discrete and continuous
cases.
-Know the implications of independence.
-Know how to find joint marginal distributions.
-Know how to find the mean of a random variable in both discrete and
continuous cases.
-Know how to find the mean of a function of a random variable in both
cases.
-Know how to find the mean of two random variables whose joint
distribution is given.
-Know how to find the variance and standard deviation of a random variable
in both cases using the definition and by using Theorem 4.2.
-Know how to variance of a function of a random variable in both cases.
-Know how to find covariance of X and Y using the definition and by using
Theorem 4.4.
-Know how to find correlation coefficient of X and Y.