Statistics Lecture 4.2: Introduction to Probability

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  • Опубліковано 30 лип 2024
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    Statistics Lecture 4.2: Introduction to Probability

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  • @angelaangela1312
    @angelaangela1312 8 років тому +455

    Professor Leonard. We all have good days and bad ones. Keep posting. We need you specifically. The literal probability of finding a Stat Professor who is willing to break statistics down into simple terms (which about 98% of us need) is not likely. You are a rare jem. Thank you very much. God bless you.

  • @fireheart__7
    @fireheart__7 3 роки тому +91

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  • @TheNikkowolf
    @TheNikkowolf 7 років тому +230

    Got a 91 on my midterm yesterday. That's because of you. Thank you

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      @kuldeepsen3364 6 років тому +1

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      @ianmatthewkline8279 5 років тому +6

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    • @seetycode
      @seetycode 5 років тому +2

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    • @ianmatthewkline8279
      @ianmatthewkline8279 5 років тому

      @@seetycode Calm yourself child, it was a joke. Just last year I graduated from one of the best public research institutions in the US. University of Arizona doesn't do the automatic grading. You get a professor who actually reads your exam and makes comments on your work. Best of luck, little fella.

  • @k.gomani1510
    @k.gomani1510 4 роки тому +84

    Since we are in a lock down and having classes online, this video has really helped :) :) :)

    • @benjaminkipkorir8426
      @benjaminkipkorir8426 3 роки тому

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  • @goofy4birds
    @goofy4birds 6 років тому +70

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    • @jillyburt
      @jillyburt 5 років тому

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      @stacieorico5624 2 роки тому

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  • @siena013
    @siena013 7 років тому +32

    You are legitimately the best math instructor I have ever come across, and I am an engineering student at Virginia Tech. You are a gem, and I am almost depressed now because I am almost done with my math courses and I will no longer have the pleasure of learning from your videos. Thank you Leonard for helping me get my degree!!

    • @Peter_1986
      @Peter_1986 4 роки тому +3

      You can still use his videos for regular reviews. =)
      I sometimes have huge marathons of his Calculus 1-3 videos even though I am long done with those courses, hah.

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      @stacieorico5624 2 роки тому

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  • @olgagis4341
    @olgagis4341 9 років тому +8

    I have watched a lot of you tube videos on statistics and you are by far the best! Love your notes and how you break down everything. Thank you!

  • @anthonymelendez4770
    @anthonymelendez4770 8 років тому +55

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  • @greencasd89
    @greencasd89 8 років тому +3

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  • @jessneumann6579
    @jessneumann6579 3 роки тому +2

    I have learned more from your videos than I have from any of my professors. You have no idea how much all stats students need you!

  • @smilesgoodsense468
    @smilesgoodsense468 8 років тому +1

    Thank you, Professor Leonard! You saved me big time this semester. I wasn't one of your students but this series of statistics helped very much. I appreciate it.

  • @jaylisjayla
    @jaylisjayla 7 років тому +18

    He really is a great teacher, not everyone has the gift to TEACH! He def does and I am thankful he is sharing his clear explaining methods with everyone!

  • @AtticusEluih
    @AtticusEluih 8 років тому +34

    I've seen plenty of teachers on youtube... plenty.. really truly believe you are top notch Professor Leonard. I think you are very down to earth so advanced concepts are condensed in an excellent way for students to understand when you teach. Thank-you..

  • @drgains6575
    @drgains6575 8 років тому +38

    saved me in calc 2, now this. you are the best prof.

    • @benjaminkipkorir8426
      @benjaminkipkorir8426 3 роки тому

      If you need help with your Academic Assignments, Exams or Online Classes I prefer goograde.com. They literally completed my whole college degree....Thank me later

  • @arisaris3484
    @arisaris3484 6 років тому

    I studied probability/statistics in college and you make the clearest presentation of any one I have ever heard. You are one of the best math instructors/profs I ever encountered.

  • @ladykennyg1
    @ladykennyg1 5 років тому +4

    I’m not one of your students but I feel like I am. You break statistics down so easy for me, and it had made it easier for me to understand my class... I’m going to go to your videos for all my math classes. Thank You ☺️

  • @aguilacec
    @aguilacec 7 років тому +1

    I'm so glad I found your videos. You have saved many students. Thanks for sharing your knowledge to the world through You Tube!

  • @davidturay4160
    @davidturay4160 6 років тому +1

    Professor Leonard, we are really happy about your simplified method of lecturing probability. Thank you!! God bless you continue posting.

  • @carlapassmore2472
    @carlapassmore2472 8 років тому +12

    Thank you for breaking this down. I am an online student, and this a terrific help :)

  • @sumairazafar4059
    @sumairazafar4059 5 років тому +1

    I wish i could have a teacher like you when i was taking statistics lessons back in 2008. I feel blessed to find your videos here on youtube. After watching you lessons I feel that statistics is not that difficult. It all depends on the teacher how he/she delivers the lecture.

  • @maxb1497
    @maxb1497 5 років тому +1

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  • @nikiseyachatman7587
    @nikiseyachatman7587 7 років тому

    You are truly a life saver!! I could listen to you lecture all day long. I wish I would have found your channel at the beginning of the semester my class started.

  • @ShaunDePonte
    @ShaunDePonte 7 років тому

    brilliant lectures. coming from zero background in stats to grasping all these concepts, just awesome.

  • @luvelyjay
    @luvelyjay 3 роки тому +2

    I'm learning and laughing at your jokes at the same time. It's a pleasure learning from you. Thank you so much! I learned so much and I'm looking forward to watching the other content. I'm so glad I found your channel! God bless.

  • @808thump
    @808thump 8 років тому

    Not learning this HS however a junior in college and this certainly replaces a full lecture with in depth details and constant re-visitation of concepts to help us follow along! the best professor with a great attitude toward teaching his students..Fully recommend this Over tutoring.

  • @SadeSherrisXO
    @SadeSherrisXO 3 роки тому +1

    He breaks it down in such easy to understand terms. This helps A LOT!

  • @theaveragemegaguy
    @theaveragemegaguy Рік тому +2

    I'm literally a senior phyiscs student taking quantum mechanics and I'm learning basic probability way better here than my professor! Thank you professor leonard.

  • @roxywan9896
    @roxywan9896 3 роки тому

    thank you so much Leonard! I am taking this course through distance education... basically just self taught myself.. no prof explain anything.. it is really hard. I am so blessed that I found you videos. thank you again.

  • @maggieelias4980
    @maggieelias4980 3 роки тому

    These videos are literally my class. My teacher does not even try and makes it so hards to understand. I love these videos. Thank you!!!!

  • @Sahibzadashakib2010
    @Sahibzadashakib2010 8 років тому

    I have been watching your lectures for last couple weeks. Honestly, it is wonderful lectures.

  • @Darleza
    @Darleza 6 років тому +1

    I hate statistics but I needed it to graduate! Usually I'm good with math but I'm taking the class online and the professor is not the greatest answering emails, so I'm glad that I found your videos. I hope to do better in this class.

  • @Wran84
    @Wran84 6 років тому

    I'm applying to a transition to teaching program and haven't done math in over 10 years. Very helpful and easy on the eyes!

  • @jane_6489
    @jane_6489 2 роки тому

    You made this topic so simple. I was looking for an explanation and yours are the best. I have a final exam today. Im'ma come back and take notes about this. Thank you so much Professor Leonard !

  • @malayan1984
    @malayan1984 3 роки тому +2

    Thank you thank you thank you for this. This is very helpful now that classes are online. My heads swirling with all the reading and no one's gonna explain it for me.

  • @samantha9189
    @samantha9189 6 років тому +1

    Amazing work professor. Couldn't handle my stats class without the help of your videos.

  • @MrPhengharry95
    @MrPhengharry95 8 років тому

    Thank you so much pfs Leonard, I wish I had know this before I took my satistics class. Now I'm 4th year student and being revising all required basis include satistics. Actually I can just read my boring textbook again but that would put me to sleep so I decided to watch your course. The best thing is that you help me understand stuff that I can do before but never understand why.

  • @brimo8738
    @brimo8738 2 роки тому +1

    You are a genius prof. Learnt so much, ready for the exams now.
    Prof Leonard, it's a gift I guess. Keep up

  • @elisabethdabrowski1098
    @elisabethdabrowski1098 7 років тому

    great job Prof B. Leonard. Makes me want to go on with stats doing other topic now. Looking forward to smashing your calculus topics in the holidays.

  • @tshiovhekhuthadzo129
    @tshiovhekhuthadzo129 10 років тому +5

    Thank you for this wonderful video. I used to watch your videos on Calculus but you blew me away with Statistics. Thank you.

  • @innovationiskeyforgrowth656
    @innovationiskeyforgrowth656 2 роки тому +1

    No matter how you the idea of starting with your video series on math. I got really high scores in Calculus and working with statistics now through you... mostly. Even though I got the highest grade in Calculus classes. I would (probably) not have passed without you! Thank you 😊

  • @melliethemortician
    @melliethemortician 2 роки тому +1

    This video is almost 10 years old but it helped so much, I failed algebra 1 almost 4 times in high school and every teacher that tried to help was really bad at it(trying to force me to learn a specific way didnt work due to autism) but these videos specifically your Statistics videos helped alot. I just passed my first ever college statistics class because of these videos!!

  • @drsaimairam15
    @drsaimairam15 7 років тому +4

    I am from Pakistan. I am a PhD scholar. Statistics has been in the syllabus for last few years but not in my time. so It was just a mission impossible to understand the subject. I found the lectures so so so much interesting and get the subject very easily. They are awesome. I feel as I am present in the class and enjoy learning. God bless you Ameen

    • @shabirahmad4623
      @shabirahmad4623 7 років тому

      Aa....
      i wana b a scholar so help me how it is possible
      i hve cmpltd my graduation .....wht to do plz suggest
      i hpe u wll reply
      In Sha Allah

    • @drsaimairam15
      @drsaimairam15 7 років тому

      Walakum Assalam. Where do you live? After knowing that I will better guide you about your interest

  • @AliMohammed-ly8lx
    @AliMohammed-ly8lx 8 років тому +17

    you are the best prof. i had your calc 1&2 , now i'm having this course. i wish i can send to you a present. thanks million

  • @kevinmontreuilkm
    @kevinmontreuilkm 2 роки тому

    Professor Leonard has gotten me through calc 1 to 3 and currently dif eq. my probability professor isn't working out too well and I was pleasantly surprised to find prof Leonard doing Statistics here. Only math teacher I need right here.

  • @ambersteensma4949
    @ambersteensma4949 8 років тому +8

    Preparing for my Statistics midterm next week!! This has been such a great help! THANK YOU!!!

  • @sunayana777
    @sunayana777 8 років тому +6

    he is beyond perfection. loads of love respect and wishes from india....

  • @samrasamra5363
    @samrasamra5363 5 років тому

    You not only teach but also make us understand statistics...its an unbelievable thing

  • @yeshiwasewinetu3295
    @yeshiwasewinetu3295 8 років тому +11

    I like your lecture and i will try to improve my lecturing method.

  • @bhawinthakker2527
    @bhawinthakker2527 4 роки тому

    Thank you very much Sir... This math world owes you big time for your contribution. No value can match up to your teachings

  • @ravisrimanthula6763
    @ravisrimanthula6763 5 років тому

    I feel utmost thrill and joy in learning math the way u teach...thank you so much...

  • @tatakim2517
    @tatakim2517 6 років тому

    preparing for my midterms. have watched all your earlier uploads in stat till now and oh wow, i could confidently say that you were the one who taught me 95.9% of the things that i should know in this course so thank you so so much!!!
    self-study doesnt work and my prof’s teaching style doesn’t work for me either.

  • @GhulamMustafa-pn2xi
    @GhulamMustafa-pn2xi 4 роки тому

    Thank you Prof. Leonard! Currently taking a six week stats course and the video done by our prof. are boring, dry, and hard to understand. Watching this made stats actually easier to understand and actually to say "fun".

  • @jasminperalta20
    @jasminperalta20 7 років тому

    This helped a lot especially taking stats during winter session! Thank you!

  • @esranurzngl7586
    @esranurzngl7586 8 років тому

    love this professor. these videos will help me to pass the final exams. thanks :)

  • @stiankarlsen1409
    @stiankarlsen1409 2 роки тому

    Had to pause the video to add this comment.
    This ramps up to be the video I needed to finally get a fundamental understanding of probability theory. Good job!

  • @surabhigrover9369
    @surabhigrover9369 8 років тому

    Thanks a ton professor! You define an 'ideal' teacher.

  • @johnsmallpaw6242
    @johnsmallpaw6242 6 років тому

    THANK YOU SIR! The book I'm using is using such odd examples and ways of explanation. My teacher doesn't even complement the book, he's just spitting a chaotic lecture expecting us to make order out if it. Cheers for this, helps a ton!!

  • @Peter_1986
    @Peter_1986 4 роки тому +1

    My first words whenever I find a Professor Leonard playlist of the course that I am stuck on are always "Oh my god...! I am saved...!".

  • @ayseak_
    @ayseak_ 5 років тому +3

    Watched the popup ad till the end in gratitude for such an interesting lesson)

  • @toychest6386
    @toychest6386 6 років тому

    My test scores went from 90 on my last test ( not watching these videos) to 98 after watching them. love them thank you

  • @cels6642
    @cels6642 6 років тому +7

    for everyone's information, it's OCCURRENCE.
    Great video btw. Thank you!

  • @kayala667
    @kayala667 5 років тому

    This man is truly amazing! WONDERFUL EDUCATOR!

  • @olydnk5270
    @olydnk5270 7 років тому +13

    Very helpful thanks. The spelling is occurrence, with 2 r's and a 'e' instead of 'a'.

  • @fahadmehmood9428
    @fahadmehmood9428 6 років тому

    I love the way you say, "does that make sense to you"

  • @karenhernandez3589
    @karenhernandez3589 8 років тому

    I just really had to get it out of my system and let you know that some of your students provided the wrong answers. LOL I'm following along and doing the math. You should double check, so that they know if they are doing the procedure correctly. Thanks for the videos they are great! I realized that I cannot recall any of the content my professor went over. This has been a great help!!! Thank you for simplifying this course!

  • @vinodwadhwani9330
    @vinodwadhwani9330 3 роки тому

    Pure gem being an mathematics teacher i used to follow your lectures specially calculus part a big thanks

  • @Sena-sj9zp
    @Sena-sj9zp 8 років тому +6

    U ARE THE BEST PROFESSOR EVER! WELL DONE!
    Thumbs up if you AGREE TWO!

  • @FresitaDM
    @FresitaDM 8 років тому +1

    Thank you!!!! I was so lost until I watched your video :)

  • @chelefr
    @chelefr 7 років тому +182

    you should make workout video....

  • @NWAGWUSARAH
    @NWAGWUSARAH 5 років тому

    Thank you very much sir for this video. Our instructor just writes it down and assumes you understand, he doesn’t take that time to explain like you did. I wish you were my teacher.

  • @edrineernamagloire7899
    @edrineernamagloire7899 2 роки тому

    Wow! for the first time I am understanding this thing. Thank you very much for your simple and clear explanation.

  • @razvanastrenie1455
    @razvanastrenie1455 3 роки тому

    Superb. Excellent presentation. Even if I have a B.S. in maths and computer science I still find as an amazing presentation.

  • @wisdomdzilewosi3337
    @wisdomdzilewosi3337 3 роки тому

    Well explained concepts, easy to follow and understand. Thanks Prof!

  • @tanyachutani7272
    @tanyachutani7272 4 роки тому

    Thanks a lot,sir. I am into Data Science and these lectures are helping me a lot.

  • @nnmkb
    @nnmkb 6 років тому +1

    Awesome. This is just outstanding buddy. Simply awesome.

  • @Carnivorequeen55
    @Carnivorequeen55 8 років тому +2

    Amazing, enthusiastic and dreamy too :-)

  • @jamalali8067
    @jamalali8067 6 років тому

    Thank you sir for your lecture. Due to your lectures I am gonna pass my Stat exam :-)
    Thanks again

  • @theresanavarro7835
    @theresanavarro7835 8 років тому

    I feel more confident that I will be passing my Stats class. THANKS PROF. LEONARD!!!!!!!!!!!!!!!!

  • @jonathanselormd.2175
    @jonathanselormd.2175 5 років тому

    i just love this guy.......havnt watched but happy already

  • @arige-safety3221
    @arige-safety3221 2 роки тому

    I had failed to understand statistics until i landed on these videos thank you Professor Leonard.

  • @det2552
    @det2552 3 роки тому

    amazing teacher ! Makes this so easy to understand

  • @user-vf6fi6zu8m
    @user-vf6fi6zu8m 10 місяців тому +2

    watching it in 2023 and its far better than even today college teachers

  • @soumilyade1057
    @soumilyade1057 5 років тому

    20:20 flipping a coin three times is an experiment or procedure. The occurrence of at least one one head or the occurrence of three heads - these are the events. The occurrence of a head is what we are looking for, as you explained.

  • @Damion00000
    @Damion00000 8 років тому +5

    preparing for my stats exam tomorrow, your lectures are a create help for revision, subscribed

  • @user-xb6ui7pw2g
    @user-xb6ui7pw2g 5 років тому +1

    I love you so much! thanks for helping me graduate!

  • @teddusisu7356
    @teddusisu7356 5 років тому +1

    Thank u very much!! Professor Leonard.

  • @briejohnston6281
    @briejohnston6281 6 років тому

    THANK YOU!!! way better than how my stats professor explains it!

  • @shamsusalihugwiwa7865
    @shamsusalihugwiwa7865 5 років тому +1

    Thanks you very much sir I am proud you let keep on posting a lectures

  • @chesterdunbar1478
    @chesterdunbar1478 8 років тому +2

    Thank You!! I got a 96 on my first exam chapter 1-3

  • @laurenmiles2846
    @laurenmiles2846 6 років тому

    Thank you so much for all your help this semester! Also, you had "occurring" with two R's right until you were corrected ;) it was funny because I thought I was spelling it wrong too! Your lectures are very engaging! Thanks again for sharing these videos!

    • @siggyretburns7523
      @siggyretburns7523 2 роки тому

      That's what I said too. But the probabilties of me being correct was a "Rare Occurrence".
      How about that? I beat the odds! 😂

  • @BrideOfYashua
    @BrideOfYashua 10 років тому +2

    Are you using Triola's text Elementary Statitics? I'm having issues with Ch.4.4,4.5, so I watched your video's still having issues. I decided to start at the beginning of Ch 4 with you and take notes. I'm impressed with the way you break everything down and right examples out on the board. I'm determined to get this section. I earned 100% on Test Ch.2&3. I'm frustrated but I'm not giving up!!! Thanks again!! Maria

  • @amywong2168
    @amywong2168 7 років тому

    really awesome teacher, couldn't of understand this (P) chapter without watching this video :)

  • @kamaalawil7186
    @kamaalawil7186 5 років тому

    Thank you for your explanation regard probability statistics so l extremely to find more explanation regard probability statistics because few days exam coming soon
    Thanks teacher for your time to supply more revisions

  • @fortunesunday97
    @fortunesunday97 2 роки тому

    My favourite maths Tutor. Thank you, Sir

  • @erenarlert182
    @erenarlert182 2 роки тому

    Prof! Thank you so much for this explanation. Sounds so easy, # So helpful this video. xxx

  • @tuckerjerbs
    @tuckerjerbs 7 років тому

    He should come out with some merch (gym merch?).. a website.. the business possibilities are endless because of his unorthodox approach to teaching.. can't believe he hasn't jumped on it yet. Especially being located in cali

  • @chipicaua
    @chipicaua 3 роки тому

    Not gonna lie I like that my odds of getting a head is 50%.
    In all seriousness though, thanks for another amazing series of lectures, Professor! Love from Greece!

  • @cg0825
    @cg0825 4 роки тому +1

    I wish this was around when I took statistics. Probability was one of those things I had a hard time understanding at first.

  • @ashleyfitzmorris3031
    @ashleyfitzmorris3031 4 роки тому

    I would certainly be understanding biz stats much better if you were my instructor. Shoot. THANK YOU! You will most def save my life in this summer semester (my first semester back after 5 years due to a near-fatal car crash).

  • @Angelabur5048
    @Angelabur5048 3 роки тому

    Professor Leonard, you were correct! it's occurrences and not occurences like your students said.