HKN ECE 313 EXAM 2 REVIEW SESSION Corey

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HKN ECE 313 EXAM 2 REVIEW SESSION Corey Snyder Ahnaf Masroor Kanad Sarkar

HKN ECE 313 EXAM 2 REVIEW SESSION Corey Snyder Ahnaf Masroor Kanad Sarkar

EXAM 2 TOPICS • Continuous-type Random Variables (mean and variance of CRVs) • Uniform

EXAM 2 TOPICS • Continuous-type Random Variables (mean and variance of CRVs) • Uniform Distribution • Exponential Distribution • Poisson Process • Linear Scaling of PDFs • Gaussian Distribution • ML Parameter Estimation for Continuous Random Variables • Functions of a random variable • Failure Rate Functions • Binary Hypothesis Testing • Joint CDFs, PMFs, and PDFs • Independence of Random Variables • Distributions of sums of random variables*

CONTINUOUS-TYPE RANDOM VARIABLES •

CONTINUOUS-TYPE RANDOM VARIABLES •

UNIFORM DISTRIBUTION •

UNIFORM DISTRIBUTION •

EXPONENTIAL DISTRIBUTION •

EXPONENTIAL DISTRIBUTION •

POISSON PROCESS •

POISSON PROCESS •

LINEAR SCALING OF PDFS •

LINEAR SCALING OF PDFS •

GAUSSIAN DISTRIBUTION •

GAUSSIAN DISTRIBUTION •

ML PARAMETER ESTIMATION •

ML PARAMETER ESTIMATION •

FUNCTIONS OF RANDOM VARIABLES •

FUNCTIONS OF RANDOM VARIABLES •

GE NE RA TING A R V WITH A SPECIFIED DIS TR IB UTIO

GE NE RA TING A R V WITH A SPECIFIED DIS TR IB UTIO N •

FAILURE RATE FUNCTIONS •

FAILURE RATE FUNCTIONS •

BINARY HYPOTHESIS TESTING •

BINARY HYPOTHESIS TESTING •

JOINT CDF, PMF, AND PDF CONTINUOUS RANDOM VARIABLES DISCRETE RANDOM VARIABLES • •

JOINT CDF, PMF, AND PDF CONTINUOUS RANDOM VARIABLES DISCRETE RANDOM VARIABLES • •

INDEPENDENCE OF JOINT DISTRIBUTIONS •

INDEPENDENCE OF JOINT DISTRIBUTIONS •

DI STRIBUTION OF SU MS O F RANDOM VAR IABLES •

DI STRIBUTION OF SU MS O F RANDOM VAR IABLES •

WHAT IS CONVOLUTION? • A beautiful, extraordinary linear operator that describes natural phenomena in

WHAT IS CONVOLUTION? • A beautiful, extraordinary linear operator that describes natural phenomena in a fundamental and concise manner.

WHAT IS CONVOLUTION? •

WHAT IS CONVOLUTION? •

FA 15 PROBLEM 2 •

FA 15 PROBLEM 2 •

FA 14 PROBLEM 3

FA 14 PROBLEM 3

FA 15 PROBLEM 4 •

FA 15 PROBLEM 4 •

SU 16 PROBLEM 3 •

SU 16 PROBLEM 3 •

SP 15 PROBLEM 4

SP 15 PROBLEM 4

FA 15 PROBLEM 3 •

FA 15 PROBLEM 3 •

FA 12 PROBLEM 6

FA 12 PROBLEM 6