Ïðåäûäóùåå ÇàäàíèåÎãëàâëåíèå ÐàáîòûÄëÿ Ïå÷àòèÎáùåå ÎãëàâëåíèåÑëåäóþùåå Çàäàíèå

ÒÅÎÐÈß ÂÅÐÎßÒÍÎÑÒÈ.
31. Çàäàíû äâå íåçàâèñèìûå äèñêðåòíûå ñëó÷àéíûå âåëè÷èíû X è Y ñâîèìè ðÿäàìè ðàñïðåäåëåíèÿ. Íàéäèòå:
  1. ðÿä ðàñïðåäåëåíèÿ äëÿ ñëó÷àéíîé âåëè÷èíû X + Y (âàðèàíòû ñ ÷åòíûìè íîìåðàìè) èëè X * Y (âàðèàíòû ñ íå÷åòíûìè íîìåðàìè);
  2. ÷èñëîâûå õàðàêòåðèñòèêè: ìàòåìàòè÷åñêîå îæèäàíèå, äèñïåðñèþ è ñðåäíåå êâàäðàòè÷åñêîå îòêëîíåíèå ñëó÷àéíûõ âåëè÷èí X; Y; X + Y (X * Y) è ïðîâåðüòå âûïîëíèìîñòü ñâîéñòâ äëÿ ìàòåìàòè÷åñêîãî îæèäàíèÿ è äèñïåðñèè;
  3. ïîñòðîéòå ìíîãîóãîëüíèêè ðàñïðåäåëåíèÿ è ôóíêöèè ðàñïðåäåëåíèÿ äëÿ ñëó÷àéíûõ âåëè÷èí X; Y; X + Y (X * Y).
 
Âàð.Çàäàíèå
1.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
0240.20.40.4–20 0.40.6 
2.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–3150.20.50.3–13 0.50.5 
3.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
1250.20.10.7–5–1 0.60.4 
4.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
2370.30.20.5–7–3 0.50.5 
5.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
1450.40.50.1–4–1 0.30.7 
6.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
0230.50.20.3–21 0.50.5 
7.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
2460.50.30.2–4–2 0.20.8 
8.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
1360.60.10.3–6–1 0.90.1 
9.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
2580.80.10.1–8–5 0.10.9 
10.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
3450.10.30.6–4–3 0.80.2 
11.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
0450.10.40.5–5–4 0.70.3 
12.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
3580.50.30.2–5–3 0.40.6 
13.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
2490.20.20.6–4–2 0.30.7 
14.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
1570.30.40.3–7–1 0.10.9 
15.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
2360.10.10.8–6–3 0.50.5 
16.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
0240.20.40.4–2040.40.30.3
17.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–3020.20.30.5–2120.30.30.4
18.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–2–100.70.20.11230.20.60.2
19.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–4–3–20.60.30.12350.40.50.1
20.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–2050.50.30.2–5230.30.40.3
21.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–4120.30.60.1–4–100.10.20.7
22.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–5030.20.20.6–3560.30.50.2
23.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–10050.40.30.3–55100.20.70.1
24.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–6–300.50.10.43670.70.10.2
25.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–5040.20.50.34680.10.10.8
26.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–6020.20.70.1–2460.50.30.2
27.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–5050.40.50.1–35100.20.70.1
28.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–6010.30.40.3–1560.50.40.1
29.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–7030.20.40.4–3170.30.60.1
30.
X1X2X3P1P2P3Y1Y2Y3P4P5P6
–5120.10.10.8–3070.60.10.3

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