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Теория вероятности и математическая статистика

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Yoi /anoinoue ianooieaiey niauoey A a n eniuoaieyo

Eniieuecoai ia?aaainoai *aauoaaa

aaea ( – i?iecaieueiia iaio?eoeaoaeueiia /enei

Iieo/aia oai?aia Aa?ioeee.

*anoinoue ianooieaiey i?iecaieueiiai niauoey i?e /enea eniuoaiee
no?aiyuainy e aaneiia/iinoe ii aa?iyoiinoe noiaeeony e oai?aoe/aneie
aa?iyoiinoe ianooieaiey niauoey.

– /anoinoue ianooieaiey niauoey A caeeth/aaony a neaaeothuai: n oinee
c?aiey ?aiaa i?eaaaeaiiiai ii?aaeaeaiey, iacaaeneiui eniuoaieyi
yeaeaaeaioiu aeaa noaiu:

i?iaaaeaiea n ?ac iaeiiai e oiai aea eniuoaiey

i?iaaaeaiea n iacaaeneiuo eniuoaiee iaae n eiieyie iaeiiai e oiai aea.

Aiaeiaey: 100 ?ac iiiaoo iiaea?anuaaao 1 /aeiaae eee 100 /aeiaae
iiaea?anuaatho ii iaeiie iiiaoa.

Caeii aieueoeo /enae.

?anniio?ei iacaaeneiua: iaeeiaeiai ?ani?aaeaeaiiua neo/aeiua aaee/eiu
X1, X2, …, Xn n eiia/iui iao. iaeeaeaieai e aeenia?neae.

?anniio?ei eo n?aaeiaa a?eoiaoe/aneia

Eniieuecoy aniiiiaaoaeueiia ia?aaainoai iieo/ei

iieo/aai

I?e /enea eniuoaiee, no?aiyueony e Y n?aaeiaa a?eoiaoe/aneia ii
aa?iyoiinoe noiaeeony e iaoaiaoe/aneiio iaeeaeaieth.

A ethaii oieaa?neoaoneii o/aaieea aeieacuaaaony noiaeeiinoue n
aa?iyoiinoueth 1.

Eniieueciaaiea caeiia aieueoeo /enae.

Ionoue eiaaony iaeia neo/aeiay aaee/eia X, iaae eioi?ie i?iaaaeaii n
eniuoaiee. ?acoeueoaou eniuoaiee

Oiaaea a neeo i?eia/aiey, naeaeaiiiai Aa?ioeee, yoe n-/enae iiaeii
n/eoaoue ?acoeueoaoii iaeiiai eniuoaiey iaae n-ia?iie neo/aeiie
aaee/eiie, o eioi?ie Xi iacaaeneiu e ?ani?aaeaeaiu eae X, o.a.

yaeyaony ?aaeecaoeeae neaaeothuaai

yaeyaony oi?ioae ioeaieie aaee/eiu X.

Iniiau oai?ee oa?aeoa?enoe/aneeo ooieoeee

Eiiieaeniay neo/aeiay aaee/eia Z ii?aaeaeyaony n iiiiuueth aeaoia?iie
neo/aeiie aaee/eiu (X,Y) neaaeothuei au?aaeaieai

Iia?aoeee iaae eiiieaeniuie neo/aeiuie aaee/eiaie niaiaaeatho n
iia?aoeeyie iaae eiiieaeniuie /eneaie.

?anniio?ei neaey?ioth ooieoeeth neo/aeiuo a?aoiaioia e /enea i.

, i?inoi i n/eoatho iinoiyiiui ia?aiao?ii.

Iaeaeai iao.iaeeaeaiea neo/aeiie aaee/eiu Z.

1. Aeey eiiieaeniie neo/aeiie aaee/eiu ni?aaaaeeeau naienoaa
aaeaeeoeaiinoe e ioeueoeieaeaoeaiinoe iao.iaeeaeaiey.

Ionoue Z1 e Z2 iacaaeneiua eiiieaeniua neo/aeiua aaee/eiu. Iaeaeai
iao.iaeeaeaiea i?iecaaaeaiey

a) aeene?aoiue neo/ae

a) iai?a?uaiue neo/ae

Aeaoia?iay neo/aeiay aaee/eia XY eiaao ieioiinoue aa?iyoiinoe f(x,y).

Oa?aeoa?enoe/aneie ooieoeeae aeaenoaeoaeueiie neo/aeiie aaee/eiu X
iacuaaaony ooieoeey

Naienoaa oa?aeoa?enoe/aneie ooieoeee

1. Aeey aeene?aoiiai neo/ay

2. Aeey iai?a?uaiiai neo/ay

Aoaeai n/eoaoue, /oi ieioiinoue aa?iyoiinoe f(x) nouanoaoao, oiaaea

Yoi naienoai aa?aioe?oao, /oi oa?aeoa?enoe/aneay ooieoeey anaaaea
nouanoaoao

4. Ionoue neo/aeiay aaee/eia

y=ax+b

5. Oa?aeoa?enoe/aneay ooieoeey noiiu iacaaeneiuo neo/aeiuo aaee/ei ?aaia
i?iecaaaeaieth oa?aeoa?enoe/aneeo ooieoeee.

oi – iacaaeneiu

Oiaaea

Ionthaea

6. Anee o neo/aeiie aaee/eiu O eiia/ai ia/aeueiue iiiaio n-ai ii?yaeea,
oi

– nouanoaotho e-a i?iecaiaeiua e i?e yoii

a) eiaao ianoi ?aceiaeaiea

Aeey oiai, /oiau iieo/aiiia ?aaainoai auei ni?aaaaeeeai, iaiaoiaeeii
aeieacaoue, /oi iu iiaeai aeeooa?aioee?iaaoue iiae ciaeii eioaa?aea.

Aeey aeieacaoaeuenoaa i?eaaaeai ?yae oaeoia.

1. Aiaeia oai?aiu Eeaaaa aeey eioaa?aeia ?eiaia

eioaa?e?oaia ii ?eiaio e i?e anao o

noiaeeiinoue a eaaeaeie oi/ea ecaanoia.

– iaeioi?ay ooieoeey, iaaei?e?othuay aeaiioth. Ionoue i?e yoii eiia/ai
eioaa?ae

o.a.

Oiaaea

2. Iaeioi?ua naienoaa iao.iaeeaeaiee aeaenoaeoaeueiie neo/aeiie aaee/eiu

1) Anee o>0, oi IO>0 – aeieacaoue naiei

Aeene?aoiue neo/ae

Neaaeiaaoaeueii

Oiaaea

iiaeao i?eieiaoue cia/aiey:

a) (-Y,+Y) a yoii neo/aa aiai?eony, /oi IO ia ii?aaeaeaii.

a) (-Y,

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