ECE 313 Late-Breaking News

The Conflict Exam is scheduled for the same evening from 7:00 p.m. to 10:00 p.m. in Room 168 Everitt Laboratory. You may not take the conflict exam unless you actually have a conflict at the regularly scheduled exam time and have informed your instructor about the existence of the conflict in a timely fashion.

- You are allowed to bring TWO 8.5" by 11" sheets of notes to the exam;
both sides of the sheets can be used.
Calculators, laptop computers, Palm Pilots and the like are not permitted.

- You are expected to know what is meant by
- a Bernoulli random variable with parameter p
- a binomial random variable with parameters (n,p)
- a geometric random variable with parameter p
- a Poisson random variable with parameter (lambda)
- a random variable uniformly distributed on (a,b)
- an exponential random variable with parameter (lambda)
- a Gaussian random variable with mean (mu) and variance
(sigma)
^{2} - a bivariate random variable (X,Y) uniformly distributed on a region of the plane

- jointly Gaussian random variables with means (mu)
_{x}and (mu)_{y}respectively, variances (sigma_{x})^{2}and (sigma_{y})^{2}respectively, and correlation coefficient (rho)

A table of values of the unit Gaussian CDF will be supplied to you if it is needed on the exam.

- a Bernoulli random variable with parameter p

- univariate CDFs, pdfs and pmfs
- computation of the probability that X lies in an interval
- mean, variance, and LOTUS (Proposition 2.1 on p. 197)
- computation of the pdf/pmf of a function of one random variable
- joint pdfs and pmfs
- computation of marginal pdfs and pmfs
- computation of the probability that (X,Y) lies in a region of
the plane
- computation of the pdf/pmf of a function of two random variables
- covariance, correlation coefficient, variance of a sum of random
variables, covariance of aX+bY and cX+dY, etc.
- jointly Gaussian random variables
- Markov and Chebyshev inequalities, Weak Law of Large Numbers,
and the Central Limit Theorem and their applications in bounding and
estimating probabilities

Because of a lack of space, the Final Exam does not include any questions on the following topics: maximum-likelihood estimation, hypothesis testing and statistical decision-making, minimum mean-square error estimation, and hazard rates.