Tutor in probability theory. Probability Tutors

Tutor in probability theory, candidate of sciences Alexander Anatolyevich Bystrov.

"LessonSite": Why tell me, you, a Probability Theory (TV) tutor in Moscow, do problems cause difficulties for students?
: Many people study TV in their second year of university. As a rule, difficulties arise with the very first word problems in this discipline. This important branch of mathematics not only broadens the horizons, but also serves as the basis for complex studies of various physical and commodity quantities on the elements of mathematical statistics. For example, using this analysis, forecasts of the behavior of prices for oil, gas, precious metals, ruble, dollar and euro rates are made. Prices or their values ​​are random and statistical data. It is known that the science of TV is used in game theory, and in particular, with the help of knowledge of the laws of distribution of a discrete random variable and the ability to quickly calculate the most advantageous types of strategies, one can make a profit and earn money when selling and buying shares on stock exchanges. Some people are not unsuccessfully using TV in the gambling business, in optimal betting strategies in bookmakers. There are unique examples of the use of TV in casinos - French roulette, poker, dice. That is, it is an interesting science with tangible results in real life. As a tutor in probability theory, I will say, unfortunately, that a student, for example, from the Financial University under the Government of the Russian Federation or the Higher School of Economics (Higher School of Economics), is immediately given many definitions, theorems in lectures and does not explain how to solve the simplest life problems. Therefore, he does not receive positive emotions, he gets lost and panics.

"LessonSite": How do YOU ​​structure the training?
Probability Tutor: First, I introduce algebra of events, classical and statistical definition. Further, after describing the elements of compounds or combinatorics, which are used not only in TV, but also in computer science and programming, I explain calculation examples.
To emphasize the global essence of a random variable with a student in pictures, we solve problems for the geometric definition of B. When shooting at a target when a bullet hits a black circle against a white square background, B is calculated by dividing the area of ​​the circle by the area of ​​the square.
One of the important milestones for independent problem solving is a deep understanding of the Bayesian formula. But in order to feel and feel it, it is necessary to study the addition theorem V.
The basic concept is conditional V. In short, as a theory tutor, this is the probability of an event occurring when something or some condition is fulfilled. Finally, there is a series of problems on the multiplication theorem B. I have been a tutor of probability theory for many years, I can insist that knowledge of laws and theorems is not enough - you need to solve a lot of problems. One of the main formulas is the formula for the complete V.
Uroxight: When do you study distribution laws?
Before proceeding to the indicated tasks, we study in the classroom: binomial probability distribution and a sequence of independent tests. Calculation by Bernoulli's formula leads to great computational difficulties for large n (more than 30 ... 100). Therefore, various asymptotic formulas for the binomial distribution are used.
The student must accurately determine for himself the difference between a continuous random variable and a discrete random variable. For a probability tutor, it becomes more realistic to explain Uroxite ": In addition to students of economic universities, who is interested and takes lessons on TV?
Probability Tutor: This science, if you turn to the Internet resource, is relevant for economists, exchange traders, Forex players, professional bookmaker players, and many who want to risk playing games for fun. A special category is the slot machine and roulette enthusiasts. For professional economists, knowledge of the integral characteristics of a random variable and the distribution function is required.
"Uroxight": What other topics do you study on TV in problems?
Probability Tutor:
We solve many problems on the basis of the normal distribution of a random variable. If the concept of mathematical expectation is easy to grasp, then the variance requires more time. I explain it with specific examples with pictures. At the end of our short conversation, I would like to say, as a tutor in probability theory, about the special importance of the laws of large numbers and Chebyshev's inequality.

Perfectly pass the exam in mathematics and physics of the profile level and classically score the required number of points - that's not all! In a large number of major Moscow institutes, for example, MIPT, HSE, Moscow State University, applicants also need to take an optional, profile exam in one of the subjects. A tutor on the theory of probability will undoubtedly help you to safely master the materials of this difficult exam on request. At the same time, a profile exam is required to fully comply with high school programs. The most serious thing is, having entered a university in Moscow, for example, the Financial University under the President of Russia, to resist in it, not to be expelled for falling behind in the first or second year.

Life reveals that this problem is of little concern to those entering universities and their parents in the hot and sufficiently convulsive stage of preparation for passing the profile exam. Regular classes with a tutor in probability theory will help you to set yourself the task of solving this burning problem. We, university professors, have information that from year to year there is a disappointing statistics on the expulsion of undergraduate students for academic backwardness. In our opinion, this is due to the fact that having entered a university, for example, the Financial University, freshly baked students - young, very intelligent people - find themselves in new conditions of teaching and learning.

University lecturer Work experience 48 years

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He graduated from school with a gold medal, at the same time he moved from the eighth to the tenth grade, having passed the ninth grade as an external student, so he did not study in the ninth grade. Was Leninsky Expand

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ОГЭ (ГИА) ЕГЭ preparation for olympiads school course Algebra Analytic geometry Higher mathematics+8 Geometry Combinatorics Linear algebra Math statistics Mathematical analysis Applied Mathematics Probability theory Trigonometry

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m. Ramenki

Nadezhda Pavlovna

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During my career, as you can imagine, I have done a lot of lessons, about 38,100 lessons, as it was recently calculated.

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ОГЭ (ГИА) ЕГЭ preparation for olympiads school course Algebra Algebra Logic Analytic geometry +12 Higher mathematics Geometry Differential Equations Integral equations Combinatorics Linear algebra Mathematical logic Mathematical analysis Probability theory Number theory Trigonometry TFKP

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M. Savelovskaya m.Taganskaya (ring) m.Taganskaya (ring)

Nikita Sergeevich

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I will be glad to help prepare for the exam in mathematics and computer science, as well as for entrance exams to universities (for example, to the DVI Moscow State University). I also prepare for exams Expand

Great tutor! Found an approach to a humanitarian child. Thanks to Nikita Sergeevich, our situation improved in one month at school, grades in algebra Expand and the geometries increased, the daughter had confidence in herself before passing the GIA. Nikita Sergeevich very lucidly explains the material covered, prepares for a new topic and sets homework, prepares for the GIA. Since we only needed to improve our knowledge, we will finish classes this year, but we will always keep it in mind and recommend it to our friends, as an excellent mathematics tutor. Thank you, Nikita Sergeevich, for your help! All Reviews (70)

ОГЭ (ГИА) ЕГЭ preparation for olympiads school course Algebra Analytic geometry Vector analysis +20 Higher mathematics Geometry Discrete Math Differential Equations Combinatorics Linear algebra Linear geometry Mathematical physics Mathematical analysis Optimization methods Optimal control Applied Mathematics Probability theory Graph theory Number theory Trigonometry TFKP Equations of mathematical physics Functional analysis

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m. Voykovskaya

Alexander Sergeevich

University teacher Experience 24 years

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I invite you to my classes. I conduct them both individually and in a group, I work with both strong and weak students. Preparing for the exam (maximum Expand

The child studied physics for six months. Tasks of various difficulty levels were examined, including the university program. The child passed the interim attestation at school Expand excellent (before that there were fours). All Reviews (66)

ОГЭ (ГИА) ЕГЭ preparation for olympiads school course Algebra Analytic geometry Vector analysis +16 Higher mathematics Geometry Differential Equations Integral equations Combinatorics Linear algebra Linear programming Mathematical models Mathematical analysis Optimal decision methods Probability theory Trigonometry Partial Differential Equations Financial mathematics Numerical Methods Econometrics

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Not selected Moscow State University Lomonosov API at IGiP RAS Financial University (formerly GUMF) AGPS EMERCOM of Russia AGZ EMERCOM of Russia AMI RANEPA under the President of the Russian Federation (ANKh under the Government of the Russian Federation, RAGS under the President of the Russian Federation) MIGUP (formerly APU) ATiSO AU MIA RF AFB RFPS AS named after ... V.S. Popov AEI AEiU ARBI VA Strategic Missile Forces named after Peter the Great (formerly VA named after Dzerzhinsky) VIU MO RF VUNTS VVS VVA them. prof. NOT. Zhukovsky and Yu.A. Gagarin (former VVIA) VU MO RF (former VPA named after Lenin) VURKHBZ ISV (former VU) VAVT Financial University (former VGNA) VGIK VKSH MEDT VTSh S. Melkonyan VSH GMU VSHP VSHP VSHSO VTU named after. Shchepkin TI them. Shchukin (formerly VTU named after Shchukin) VIU GASIS GASK GKA named after Maimonides State. IRYA them. Pushkin State Pedagogical Institute named after Ippolitova-Ivanova RGSAI (formerly GSII) NRU HSE (SU-HSE) GAUGN (formerly GUGN) GUZ GUU GEI GEITI Humanitarian Institute GITR MGPI (now MGPU) YES MFA RF MOIUP Yurinfor IBPsh (until 2013) IBP . UPS) IBPU RGIS (VSK) IGU MGIMO Ministry of Foreign Affairs of the Russian Federation Griboedova IMTP IMES IMPiPP IME IMEI (world economy and informatization) IPV IPO IPP IRESPiP ISB ISI ISBTiSU ISN ISSO INEKBI IEiK IEP INEP IEKP RAMA IEFP IEPiUR INaK im. L. Tolstoy LI them. Gorky MATI MVSH MIGMT MIM Link MIEP MNEPU MIEPP at MNEPU MSI them. Derzhavin MUM MUI KNOW MTI MAP (international) MGIIT them. Yu.A. Senkevich (formerly MATGR) MAEP MGAVMiB im. K.I. Skryabin (formerly MBA) MGAVT MGUPI MITHT MGAFK (Moscow Sports Academy) Tchaikovsky MGUTU them. K.G. Razumovsky (formerly MGTA, VZIPP) University named after O. E. Kutafin (MGLUA) First MGMU named after THEM. 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Fedorova (formerly MPI) MGUPM MGUPB MGUP (environmental engineering) MGUPS (MIIT) RGUTiS (formerly MGUS) MESI MGHPA im. Stroganov MGEI MGI them. Dashkova NRNU MEPhI MIBD MIBUA MIIIA MGAKHiS (VZISI) MIMSR MIMB at the Higher Air Transport Ministry of the Russian Federation MIP MIPP MIGKU MIU (management) MU them. S.Yu. Witte (formerly MIEMP) MIEPP MKVI branch of SPbGUKiT MNYUI MOSA (formerly MOSU) MSGU (formerly MGPI named after Lenin) MPU MPSU (formerly MPSI) MRIVSEO MTUSI MTI (transport) MosU MVD RF MU Turo MIPT (GU) SPbGUP MF) SPbIVESEP in Moscow MFEI MGTA (formerly MEI) MEFI KNOW MEI NIU MEI (MEI TU) MAHU in memory of 1905 Leningrad State University named after Pushkin in Moscow NIB IPPiP Continent<Евро-Азия> PMYUI ITT (Moscow region branch) RAA them. Plevako RAZHVZ RAMIA RAM them. Gnesin RAP (justice) RAP (entrepreneurship) GITIS RGATiZ RGUFKSMiT (GTsOLIFK) RMAPO RMAT (MF) RPA MJ RF RTA REU them. GV Plekhanov RGAZU RGGU RGAIS (formerly RGIIS) RNIMU (formerly RSMU) named after N.I. Pirogov ROAT MIIT (formerly RGOTUPS, VZIIT) RGTEU RGUITP RGUNG im. Gubkin ITLP MGUTU (formerly RosZITLP) RosNOU RPI St. John the Theologian RUDN RCTU im. Mendeleeva RIU UGMU (former RUI) SDI SGA SFGA (LEU SGI) UNIK MAO (UNN - Natalya Nesterova) URAO Financial University (FA) under the Government of the Russian Federation School-studio MKHAT LEU SA MITRO RGSU MGOU (regional) MIFKiS MABiU MIFU (formerly MFPA, MMIEIFP) MEPI MGGEI (formerly MGSGI) MIU MVSHM USSR Ministry of Internal Affairs (until 1992) IMDT RAKHI MHPI ITiG RUK (formerly MUPK) MGUU Moscow Government MGIM IEAU MSEI INES NI VSHU MILE VSHU MIEMO MOSPI at MSGU PSTGU MTI "VTU" (formerly VTU UNESCO) NIEV AEB Ministry of Internal Affairs of the Russian Federation (formerly ANP FSNP RF) RIPTIB (IMTs) Institute of Business and Design (formerly InOBO) Collège Universitaire Français de Moscou BVShD IMSGS NES MIID MGRO UML at MGK KPSS NIM BBI OITiR IGTM (formerly IAYA) MIRTSHB MosAP under the Moscow Government VIA im. 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Pirogov VSHII MBS IPB Russia CEPL RAS GII RAS IS RAS IN RAS RISK (RISC) IMET RAS EAOI ISPI RAS ZNUI IEP IDNT IEK IIC VShDSI at RATI (GITIS) MSDS TAEKH VIESKh INEOS RAS ILA RAS GIUV RMI RF IPIK MIUI RAS VNIIVSGE IHO RAO ITTI IOF RAS VSTISP IIP IPD MFPA VVI (ex. VVF at the M.V. Scriabin) Lebedev Physical Institute Lebedev RZTI MIPK REU them. G.V. Plekhanov Vishnevsky RAMS SIUS VKIYA MEDT IP RAS MUGU IOC RAS ​​MIPK RRiSKhP INP RAS CEMI RAS IEA RAS named after N.N. Miklukho-Maklai Moscow State Scientific Research Institute P.A. Herzen IIO RAO Institute of Applied Mathematics MV Keldysh RAS IAF RAS AGPRF IBMP RAS IREI UCU IG RAS IPNG RAS ILI IVI RAS ISIS ITI named after P. M. Ershova IV RAS GETI (former ASER, Academy "Continent") ISIT NII RAKh ICP RAS MIGIP IAM PGI "Co-action" INTUIT MGI IPI IBCh RAS MVU (Vienna) CC RAS ​​VNIIFK AIBEc ISIN VNST NIIOSP named MN Gersevanov ISL RAS IP RAS EBS IPI RAS GOSNITI NOU ART INFO - Ruthenia GIA (GIA) IPV RAS IBG RAS IPEB MABT "Forex Club" INEUM im. IS Brook AIS IPE RAS NISK ISV RAO (formerly NII OPV APN USSR) Managing Academy of Sciences of San Marino IMASH RAS named after I.S. A. A. Blagonravova MPPI IPPKP IKSR NII SPiPRL ICT AIU VGKPI RBU ITPI IMM RAS MAFSI NIPHI IINMS IATU APRIKT IKI RAS Kora Moscow IPKIR IPPK "Professional" TsNIITMASH IKhS RAS PPDS IS RANPHI IESO IA RAS IPKON RAS RISS INION RAS ASMS RRC KI UMC ZhDT General Church Postgraduate School. Cyril and Methodius MSHU Skolkovo MTS MEIEFP IOGen RAS INBI RAS VIAPI them. A. A. Nikonov GU IMEI RTI them. AL Mints SOPS RAS MITP RAS VNIIgeosystems MASI IPTiK VINITI RAS RAPS (formerly IPK MPS of Russia) IVF RAO IRE im. V.A. Kotelnikov RAS SRI FHM Roszdrav SRI OPP RAMS TsNIIS IPKgosluzhby IFBT VIGIS PAPO ISOUKiT VNIIDAD IPK DSZN ISP RAO GKNPTs them. MV Khrunicheva IT Academy IUPFAN Centro Gregorio Fernández ARMO IISU MGAAII S. Andriyaki IPChE RAS MISB MAA VNIINTPI ISO RAO IMAD Arrow IPG IIPPR IPPD RAO University of Work Correspondents. Ulyanova VNIIZhT ABiSP MKTA IEUSP BON IPK FMBA of Russia SAMB ISA RAS VNIIMS SHAD TsNIIPSK im. Melnikov INO IRY RAS Research Institute of Virology RAMS IBChF RAS OTI EYUI SRI TSS GosNIIgenetics IMB RAS IEHO IREA IGiSP IDM IESB MISAO NTsSSH im. A. N. Bakuleva RAMS MIGTiK VNIIPVTI VDA IU (MskUniversity) RAKO APK YUI (MskUniversity) MOSGI MGIMT PU September 1 Touro College - Lander Institute Moscow IUB AMIR NIIRPO IT (MskUniversity) IE (MskUniversity) IP (Moscow University) I.P. Bardin IPSU GEOKHI RAS 25 State Research Institute of Chemotology of the Ministry of Defense of the Russian Federation VIEV MONIKI them. MF Vladimirsky ITIP RAO ESC of the Ministry of Health and Social Development of the Russian Federation NAMI Academy GRU SRI SP named after Sklifosovsky Institute of Automation and Automation Marsh INASAN GINFO IMEI (Management, Economics and Innovation) MICTIR MINECBIK SGLA IITP RAS MBS TsNIIP Urban Planning RAASN ESMOD MOSCOU IMG RAS VFEU AVR (ex. KI KGB) JIHT RAS MSEKH Institute of Urology MH RF MNIIP CBS RPU VNIIGiM im. A. N. Kostyakova INSTEP IHP CITO im. NN Priorov VNIIneft im. A. P. Krylova Higher School of Art Studies Konstantin Raikin MMI "Reaviz" V.P.Serbsky NIIOR them. VA Negovsky RAMS IAP RAS VKIYA MFA RF School-studio SHAR VNIIA Russian Agricultural Academy IVND RAS MIGp UTSPiDPO RSL RSCH im. acad. B.V. Petrovsky RAMS ISEPN RAS MBA School MEGI RNTSRR