This document discusses probability distributions and random variables. It contains 4 lessons on random variables and probability distributions: exploring random variables, constructing probability distributions, computing the mean of a discrete probability distribution, and computing the variance of a discrete probability distribution. The first lesson defines a random variable as a variable whose value depends on the outcomes of a random process and can be either discrete or continuous. It also defines key terms like experiment, sample space, and random.
2. CHAPTER 1: RANDOM VARIABLES AND
PROBABILITY DISTRIBUTION
LESSON 1: EXPLORING RANDOM VARIABLES
LESSON 2: CONSTRUCTING PROBABILITY
DISTRIBUTION
LESSON 3: COMPUTING THE MEAN OF A
DISCRETE PROBABILITY
LESSON 4: COMPUTING THE VARIANCE OF A
DISCRETE PROBABILITY DISTRIBUTION
3. LESSON 1: EXPLORING RANDOM VARIABLES
AFTER GOING THROUGH THIS LESSON, YOU ARE EXPECTED TO
1. DEFINE RANDOM VARIABLE; AND
2. ILLUSTRATE RANDOM VARIABLES (DISCRETE AND CONTINUOUS).
4. UNLOCKING TERMS
EXPERIMENT- ANY MOVEMENT THAT SHOULD BE POSSIBLE MORE
THAN ONCE UNDER COMPARATIVE CONDITION.
EX: TOSSING A COIN
SAMPLE SPACE- THE ARRANGEMENT OF EVERY POSSIBLE OUTCOMES
OF AN EXPERIMENT.
EX:(HEAD, TAIL)
RANDOM- CHOSEN, DONE WITHOUT A PARTICULAR PLAN OR
PATTERN.
EX: DRAWING RAFFLE TICKETS OR NAMES FROM A BOWL
VARIABLE- A QUANTITY THAT CAN HAVE ANY ONE OF A SET OF VALUES
OR A SYMBOL THAT REPRESENTS SUCH A QUANTITY.
5. RANDOMVARIABLE
VALUE DEPENDS ON THE OUTCOMES OF A RANDOM
PROCESS.
A VARIABLE WHOSE VALUE IS A NUMERICAL OUTCOME OF A
RANDOM PHENOMENON.
DENOTED WITH A CAPITAL LETTER.
DISCRETE OR CONTINUOUS.
EX: NUMBER OF HEADS, NUMBER OF TAILS, NUMBER OF
BOYS IN THE FAMILY.