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STATISTICS AND
PROBABILITY
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
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).
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.
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.

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STATISTICS AND PROBABILITY DISTRIBUTION.pptx

  • 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.