- Page 1 and 2: Random Variables and Discrete Proba
- Page 3 and 4: Random Variable • A random variab
- Page 5 and 6: Random Variable • A discrete rand
- Page 7 and 8: Random Variable • A discrete rand
- Page 9 and 10: Random Variable • A discrete rand
- Page 11 and 12: Random Variable • A continuous ra
- Page 13 and 14: Random Variable • A continuous ra
- Page 15 and 16: Random Variable • A continuous ra
- Page 17 and 18: Probability Distribution for a Disc
- Page 19 and 20: Probability Distribution for a Disc
- Page 21 and 22: Probability Distribution for a Disc
- Page 23 and 24: Probability Distribution for a Disc
- Page 25 and 26: What is the probability distributio
- Page 27 and 28: What is the probability distributio
- Page 29 and 30: What is the probability distributio
- Page 31 and 32: What is the probability distributio
- Page 33 and 34: What is the probability distributio
- Page 35 and 36: What is the probability distributio
- Page 37 and 38: What is the probability distributio
- Page 39 and 40: What is the probability distributio
- Page 41 and 42: What is the probability distributio
- Page 43 and 44: What is the probability distributio
- Page 45 and 46: What is the probability distributio
- Page 47: What is the probability distributio
- Page 51 and 52: What is the probability distributio
- Page 53 and 54: What is the probability distributio
- Page 55 and 56: What is the probability distributio
- Page 57 and 58: Did you notice that each example me
- Page 59 and 60: Requirements for a probability dist
- Page 61 and 62: Requirements for a probability dist
- Page 63 and 64: Did you notice that if the examples
- Page 65 and 66: Did you notice that if the examples
- Page 67 and 68: Notation • For clarity, we will u
- Page 69 and 70: Does the table below represent a pr
- Page 71 and 72: Does the table below represent a pr
- Page 73 and 74: Does the table below represent a pr
- Page 75 and 76: Does the table below represent a pr
- Page 77 and 78: Probability Histogram • As with a
- Page 79 and 80: Raffle Example • Although there a
- Page 81 and 82: Raffle Example • Since not not wi
- Page 83 and 84: Raffle Example • Next, we determi
- Page 85 and 86: Raffle Example • Next, we determi
- Page 87 and 88: Raffle Example • Next, we determi
- Page 89 and 90: Raffle Example • Finally, we comp
- Page 91 and 92: Raffle Example Probability Distribu
- Page 93 and 94: Raffle Example • We do not need t
- Page 95 and 96: Raffle Example • Winnings Winning
- Page 97 and 98: Raffle Example • Alternate Altern
- Page 99 and 100:
Raffle Example • Alternate Altern
- Page 101 and 102:
Raffle Example • Alternate Altern
- Page 103 and 104:
Raffle Example • Combining this i
- Page 105 and 106:
Raffle Example • Note: The point
- Page 107 and 108:
Raffle Example • Did you notice t
- Page 109 and 110:
Raffle Example • Did you notice t
- Page 111 and 112:
Expected Value for a Discrete Rando
- Page 113 and 114:
Expected Value for a Discrete Rando
- Page 115 and 116:
Expected Value for a Discrete Rando
- Page 117 and 118:
Expected Value for a Discrete Rando
- Page 119 and 120:
How many Heads should we expect if
- Page 121 and 122:
How many Heads should we expect if
- Page 123 and 124:
How many Heads should we expect if
- Page 125 and 126:
What is the expected value for the
- Page 127 and 128:
What is the expected value for the
- Page 129 and 130:
What is the expected value for the
- Page 131 and 132:
What is the expected prize for our
- Page 133 and 134:
What is the expected prize for our
- Page 135 and 136:
What is the expected prize for our
- Page 137 and 138:
What are the expected winnings for
- Page 139 and 140:
What are the expected winnings for
- Page 141 and 142:
What are the expected winnings for
- Page 143 and 144:
For our raffle example, can we use
- Page 145 and 146:
For our raffle example, can we use
- Page 147 and 148:
For our raffle example, can we use
- Page 149 and 150:
Variance and Standard Deviation for
- Page 151 and 152:
What is the standard deviation for
- Page 153 and 154:
What is the standard deviation for
- Page 155 and 156:
What is the standard deviation for
- Page 157 and 158:
What is the standard deviation for
- Page 159 and 160:
What is the standard deviation for
- Page 161 and 162:
What is the standard deviation for
- Page 163 and 164:
What is the standard deviation for
- Page 165 and 166:
What is the standard deviation for
- Page 167:
Variance and Standard Deviation for