Составители:
Рубрика:
55
Оглавление
1. Ñëó÷àéíûå ñîáûòèÿ, îïåðàöèè íàä íèìè ............................... 3
1.1. Ñëó÷àéíûå ñîáûòèÿ ............................................................. 3
1.2. Îïåðàöèè íàä ñëó÷àéíûìè ñîáûòèÿìè ........................... 4
1.3. Ðåøåíèå òèïîâûõ ïðèìåðîâ.............................................. 5
2. Ìåòîäèêà âû÷èñëåíèÿ âåðîÿòíîñòåé ñëó÷àéíûõ ñîáûòèé
íà îñíîâàíèè êëàññè÷åñêîãî îïðåäåëåíèÿ ............................ 8
2.1. Ñòàòèñòè÷åñêîå îïðåäåëåíèå âåðîÿòíîñòè ................... 8
2.2. Êëàññè÷åñêîå îïðåäåëåíèå âåðîÿòíîñòè........................ 8
2.3. Àêñèîìàòè÷åñêîå îïðåäåëåíèå âåðîÿòíîñòè ................ 9
2.4. Ðàçìåùåíèå è ñî÷åòàíèÿ .................................................... 10
2.5. Ðåøåíèå òèïîâûõ ïðèìåðîâ.............................................. 11
3. Ìåòîäè÷åñêèå óêàçàíèÿ ê ïðèìåíåíèþ òåîðåì ñëîæåíèÿ è
óìíîæåíèÿ âåðîÿòíîñòåé .......................................................... 16
3.1. Òåîðåìû ñëîæåíèÿ âåðîÿòíîñòåé .................................... 16
3.2. Óñëîâíûå âåðîÿòíîñòè. Òåîðåìû óìíîæåíèÿ
âåðîÿòíîñòåé ......................................................................... 16
3.3. Ñõåìà íåçàâèñèìûõ èñïûòàíèé........................................ 17
3.4. Ðåøåíèå òèïîâûõ ïðèìåðîâ.............................................. 19
4. Ìåòîäè÷åñêèå óêàçàíèÿ ê ïðèìåíåíèþ ôîðìóëû ïîëíîé
âåðîÿòíîñòè è ôîðìóëû Áàéåñà ............................................... 24
4.1. Ôîðìóëà ïîëíîé âåðîÿòíîñòè è ôîðìóëà Áàéåñà ........ 24
4.2. Ðåøåíèå òèïîâûõ ïðèìåðîâ.............................................. 24
5. Ìåòîäè÷åñêèå óêàçàíèÿ ïî òåìå ñëó÷àéíûå âåëè÷èíû ..... 29
5.1. Ñëó÷àéíàÿ âåëè÷èíà. Ôóíêöèÿ ðàñïðåäåëåíèÿ ............ 29
5.2. Äèñêðåòíàÿ ñëó÷àéíàÿ âåëè÷èíà....................................... 30
5.3. Íåïðåðûâíàÿ ñëó÷àéíàÿ âåëè÷èíà .................................. 31
5.4. Ôóíêöèÿ ñëó÷àéíûõ âåëè÷èí............................................. 33
5.5. Ïðèìåðû íàèáîëåå ðàñïðîñòðàíåííûõ ðàñïðåäåëå-
íèé ñëó÷àéíûõ âåëè÷èí ...................................................... 34
5.6. Ðåøåíèå òèïîâûõ ïðèìåðîâ.............................................. 39
6. Ìåòîäèêà àíàëèçà ðàñïðåäåëåíèé ñèñòåìû äèñêðåòíûõ
ñëó÷àéíûõ âåëè÷èí ...................................................................... 44
6.1. Çàêîí ðàñïðåäåëåíèÿ ñèñòåìû äèñêðåòíûõ ñëó÷àéíûõ
âåëè÷èí.................................................................................... 44
6.2. Ìåòîäèêà îïðåäåëåíèÿ ÷àñòíûõ è óñëîâíûõ ðàñïðåäå-
ëåíèé ñèñòåìû äâóõ äèñêðåòíûõ ñëó÷àéíûõ âåëè÷èí 45
6.3. Óñëîâèÿ íåçàâèñèìîñòè äâóõ ñëó÷àéíûõ âåëè÷èí ....... 46
7. Ìåòîäèêà âû÷èñëåíèÿ ÷èñëîâûõ õàðàêòåðèñòèê ñèñòåì
ñëó÷àéíûõ âåëè÷èí ...................................................................... 48
