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2007-10-08 - sida 1 - # 1 STOKASTIK
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Innehåll 2007-10-08 - sida i - # 3
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KAPITEL 2 2007-10-08 - sida 1 - # 5
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2007-10-08 - sida 3 - # 7 2.1 UTFAL
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2007-10-08 - sida 5 - # 9 2.1 UTFAL
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2007-10-08 - sida 7 - # 11 2.2 SANN
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2007-10-08 - sida 9 - # 13 2.2 SANN
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ÖVNING 2.14 2007-10-08 - sida 11 -
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2007-10-08 - sida 13 - # 17 2.3 TOL
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2007-10-08 - sida 15 - # 19 2.3 TOL
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SATS 2.4 2007-10-08 - sida 17 - # 2
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2007-10-08 - sida 19 - # 23 2.5 BET
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2007-10-08 - sida 21 - # 25 2.5 BET
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2007-10-08 - sida 23 - # 27 2.5 BET
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2007-10-08 - sida 25 - # 29 2.5 BET
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2.5.2 Bayes sats 2007-10-08 - sida
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ÖVNING 2.27 2007-10-08 - sida 29 -
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DEFINITION 2.7 (SANNOLIKHETSMÅTT)
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2007-10-08 - sida 33 - # 37 2.6 SAN
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2007-10-08 - sida 35 - # 39 2.7 BLA
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2007-10-08 - sida 37 - # 41 2.7 BLA
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KAPITEL 3 Slumpvariabler 2007-10-08
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2007-10-08 - sida 41 - # 45 3.1 DEF
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2007-10-08 - sida 43 - # 47 DEFINIT
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2007-10-08 - sida 45 - # 49 3.2 DIS
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2007-10-08 - sida 47 - # 51 3.3 FÖ
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6. P (X > a) = 1 − FX(a), 7. P (X
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2007-10-08 - sida 51 - # 55 3.4 KON
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2007-10-08 - sida 53 - # 57 3.4 KON
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2007-10-08 - sida 55 - # 59 3.4 KON
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2007-10-08 - sida 57 - # 61 3.5 Lä
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2007-10-08 - sida 59 - # 63 3.5 LÄ
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EXEMPEL 3.17 2007-10-08 - sida 61 -
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2007-10-08 - sida 63 - # 67 3.5 LÄ
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2007-10-08 - sida 65 - # 69 3.5 LÄ
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2007-10-08 - sida 67 - # 71 3.5 LÄ
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2007-10-08 - sida 69 - # 73 b) Ber
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2007-10-08 - sida 71 - # 75 3.6 BLA
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och 2007-10-08 - sida 73 - # 77 ⎧
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ÖVNING 3.24 2007-10-08 - sida 75 -
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BEVIS 2007-10-08 - sida 77 - # 81 3
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SATS 3.10 2007-10-08 - sida 79 - #
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2007-10-08 - sida 81 - # 85 DEFINIT
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2007-10-08 - sida 83 - # 87 3.7 NÅ
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a) E(Y ) och D(Y ). b) P (Y ≤ 12)
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2007-10-08 - sida 87 - # 91 3.7 NÅ
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2007-10-08 - sida 89 - # 93 3.7 NÅ
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DEFINITION 3.20 (POISSONFÖRDELNING
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2007-10-08 - sida 93 - # 97 3.7 NÅ
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2007-10-08 - sida 95 - # 99 3.7 NÅ
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först E(X 2 ). Vi får k=1 2007-10
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) P (X ≥ 4), c) P (X ≤ 2), d) E
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2007-10-08 - sida 101 - # 105 3.8 N
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ÖVNING 3.49 Låt U ∼ Re[−5, 5]
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EXEMPEL 3.35 2007-10-08 - sida 105
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3.8.3 Normalfördelning 2007-10-08
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2007-10-08 - sida 109 - # 113 3.8 N
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2007-10-08 - sida 111 - # 115 3.8 N
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2007-10-08 - sida 113 - # 117 3.8 N
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2007-10-08 - sida 115 - # 119 3.8 N
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ÖVNING 3.61 2007-10-08 - sida 117
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2007-10-08 - sida 119 - # 123 3.8.4
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EXEMPEL 3.38 2007-10-08 - sida 121
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BEVIS 2007-10-08 - sida 123 - # 127
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2007-10-08 - sida 125 - # 129 3.9 F
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2007-10-08 - sida 127 - # 131 3.9 F
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ÖVNING 3.70 2007-10-08 - sida 129
- Page 135 and 136: ANMÄRKNING 3.37 2007-10-08 - sida
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- Page 139 and 140: 2007-10-08 - sida 135 - # 139 3.10
- Page 141 and 142: 2007-10-08 - sida 137 - # 141 3.10
- Page 143 and 144: ÖVNING 3.80 2007-10-08 - sida 139
- Page 145 and 146: 2007-10-08 - sida 141 - # 145 3.11
- Page 147 and 148: EXEMPEL 3.46 2007-10-08 - sida 143
- Page 149 and 150: 2007-10-08 - sida 145 - # 149 3.11
- Page 151 and 152: SATS 3.33 2007-10-08 - sida 147 - #
- Page 153 and 154: 2007-10-08 - sida 149 - # 153 3.11
- Page 155 and 156: SATS 3.34 2007-10-08 - sida 151 - #
- Page 157 and 158: 2007-10-08 - sida 153 - # 157 3.11
- Page 159 and 160: 2007-10-08 - sida 155 - # 159 3.11
- Page 161 and 162: ÖVNING 3.87 2007-10-08 - sida 157
- Page 163 and 164: 2007-10-08 - sida 159 - # 163 3.12
- Page 165 and 166: 2007-10-08 - sida 161 - # 165 3.13
- Page 167 and 168: 2007-10-08 - sida 163 - # 167 3.13
- Page 169 and 170: ÖVNING 3.100 2007-10-08 - sida 165
- Page 171 and 172: 2007-10-08 - sida 167 - # 171 3.14
- Page 173 and 174: 2007-10-08 - sida 169 - # 173 3.14
- Page 175 and 176: 2007-10-08 - sida 171 - # 175 3.14
- Page 177 and 178: ÖVNING 3.106 2007-10-08 - sida 173
- Page 179 and 180: 2007-10-08 - sida 175 - # 179 Ledni
- Page 181 and 182: 2007-10-08 - sida 177 - # 181 Svar
- Page 183 and 184: 2007-10-08 - sida 179 - # 183 3.4 e
- Page 185: 2007-10-08 - sida 181 - # 185 3.66