Probability - Free Formula Sheet: bit.ly/3zb22rW Final Exams and Video Playlists: www.video-tutor.net/ Next Video: ruclips.net/video/J3KSjZFVbis/видео.html
You do an amazing job! just want to remind you that you give an extra hand to countless people that you don't even know and that's pretty incredible keep it up!
I have my STAT midterm in four days and your practice problems and explaining are the only reason I'm scraping by. I can't thank you enough, your videos save me so much stress. I literally have a math learning disability and yet you make things comprehensible in a way that my "prestigious" university could never. Thank you so much!
I do not even know how to thank you. You are truly a God send. You're better than any professor; I tell everyone about your videos and how they helped me.
11:38 The probability of waiting exactly 20 minutes is 0. This doesn't mean it's impossible to wait exactly 20 minutes-it means that, in the context of continuous probability, the chance of hitting exactly 20 minutes out of an infinite number of possible times is essentially zero. it took me 1 hour to figure it out
Thanks for the video. I’m a 53 year old pharmacist who did this years ago, but now my daughter is asking me for help on her homework and I’m clueless. Believe me, it happens. This was a great explanation. I can only hope I come back one day to use it to help another kid!
You are really saving lifes of which I am included. My grades are getting better semester after semester because of the knowledge your impacting on me. But a piint of correction pls on the formulae for var(x) i guess it should be ( b-a)2/12 ❤
I always find that, once I watch his videos, working on the textbooks problems is like a cake walk. The pause while he is clearing the board can be annoying for some people (I know, the audience can juggle with the fast forward and backward buttons but it is always better without any pause).
Bro where's your algebra 1,2,3? Is it in the proper order or not, I really need this cause I'm self studying but also wanna congratulate you for your 1 million subs!
For question 2 part f. I did: 1- b-a which is 45-20 and that's 25 2- 25/4 since they are quarters (in the question they asked for the 3rd quarter) which is 6.25 3- 6.25 x 3 which is 18.75 (they asked for the 3rd quarter) 4- 18.75 + 20 to which 38.75 (so basically I added 6.25 to 20, 3 times)
I have an honest question. When he was calculating the standard deviation of the first example, he randomly divided b-a by the square root of 12. Where did he get that 12 from? There hadn't been a mention of the number 12 the whole video. Please, help.
In question 1, he uses a value of 1/40 when calculating the probability density between values of 0 of 40, even though there are 41 values if we include 0. Would this be the same if I were finding the probability density between the prices of $20 and $30? b-a=10, but there are 11 values between 20 and 30, if we include both these values. Wouldn't my probability distribution = 1/11? Please help.
Think of it as the bin width of a typical histogram. Instead of counting the very first value in your count, you would start at the end of the first bin width. Ex) in 1-9, 1 isn't counted as 1 bin width until you go to 9. The same applies to 10-19, 20-29, etc... So when you scale your x-axis, pretend the space in between two singular values is 1 bin width. then you will see why 0-40 is 40 values and not 41. Let's take your 20-30 example. When we put it on the x-axis, you begin with 20, right? So it would be like: 20 - 21 - 22 - 23 - 24 - 25 - 26 - 27 - 28 - 29 - 30. (You can also draw this for better visualization) Now count in between those numbers. The dashes I put in there represent the space in between two values. Notice how there are 10 of them! That's why we use (b-a) since density curves are basically idealized histograms :)
Not when you are dealing with continuous values. The graph in this video includes all possible times with infinite precision, and there are an infinite number of times that you can get between 7 and 8 minutes, such as 7.5 minutes, 7.99 minutes, 7.999967 minutes, and so on, so you will need to include all of those values as well. Also, since one single specific exact time has a 0 probability of occurring --- like P(x = 20) = 0, for example --- there is actually no difference between the intervals (0 ≤ x ≤ 8) and (0 ≤ x < 8).
Probability - Free Formula Sheet: bit.ly/3zb22rW
Final Exams and Video Playlists: www.video-tutor.net/
Next Video: ruclips.net/video/J3KSjZFVbis/видео.html
You do an amazing job! just want to remind you that you give an extra hand to countless people that you don't even know and that's pretty incredible keep it up!
I love this man 😭 he doesn’t know how much I appreciate his help
I know right
I live here🥺 I don’t think he knows how he got me this actuarial science degree
I have my STAT midterm in four days and your practice problems and explaining are the only reason I'm scraping by. I can't thank you enough, your videos save me so much stress. I literally have a math learning disability and yet you make things comprehensible in a way that my "prestigious" university could never. Thank you so much!
How’d it go?
I do not even know how to thank you. You are truly a God send. You're better than any professor; I tell everyone about your videos and how they helped me.
You are honestly a lifesaver and I truly appreciate you doing these videos. They're the only reason I'm passing stats.
life saver....you always make difficult stuff look simple.....I used to hate solving problems but now I have built up enough courage.happy new year
I NEVER comment on RUclips videos, but I just want you to know you saved my grades when I was ready to lose all hope! Thank you!!
11:38 The probability of waiting exactly 20 minutes is 0. This doesn't mean it's impossible to wait exactly 20 minutes-it means that, in the context of continuous probability, the chance of hitting exactly 20 minutes out of an infinite number of possible times is essentially zero.
it took me 1 hour to figure it out
Exactly. You can wait 20.01 minutes, or 19.999999 minutes
Thanks for the video. I’m a 53 year old pharmacist who did this years ago, but now my daughter is asking me for help on her homework and I’m clueless. Believe me, it happens. This was a great explanation. I can only hope I come back one day to use it to help another kid!
Am very inspired by this man. I wish I could meet him in person just want to be like him full of Data
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Thank you so much, I have my statistics exam tomorrow and on the last exam, the professor randomly assumed we all knew this.
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i have a quick question why did you divided by sqr12? where is 12 coming form? @13:50
Formula for variance 😇
Great example. This can be used as an introduction to Guassian distribution. Thanks a lot.
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This video is clearer than my 1-hour stat class.
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13:40 please elaborate how you get 12 for the standard deviation
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This is great! I have learned a lot.
You are really saving lifes of which I am included. My grades are getting better semester after semester because of the knowledge your impacting on me. But a piint of correction pls on the formulae for var(x) i guess it should be ( b-a)2/12 ❤
My God bless you and thank you for your videos
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Great work.
what is the equation for working out standard deviation? Where did the twelve come from?
Extremely helpful! Thanks so much!!!
at @17:04 a short cut is time the percentage of 85 by the 40, 40x.85=34
for those wondering where he got the 12 from @13:55, its just part of the formula
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life saver for econ honours
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NYC can also stand for New You City, because living in New York can make you a brand new person
Percentile εκατοστημοριο quartile τεταρτημόριο στατιστική conditional probability A/B centraliser κεντροποιητης congruence ισοτιμία contour integral επικαμπυλιο
I like how you teach. It is wonderful! It would outstanding if you write question in larger font size because I could see it to read.
I always find that, once I watch his videos, working on the textbooks problems is like a cake walk. The pause while he is clearing the board can be annoying for some people (I know, the audience can juggle with the fast forward and backward buttons but it is always better without any pause).
When you say “40” you got that New Jersey accent cool
Bro where's your algebra 1,2,3? Is it in the proper order or not, I really need this cause I'm self studying but also wanna congratulate you for your 1 million subs!
thank you. I know if I'm ever stumped I can trust u to help me
thank you very much 😍😍😍😍😍
Amazing video. Thanks a lot.
For question 2 part f.
I did:
1- b-a which is 45-20 and that's 25
2- 25/4 since they are quarters (in the question they asked for the 3rd quarter) which is 6.25
3- 6.25 x 3 which is 18.75 (they asked for the 3rd quarter)
4- 18.75 + 20 to which 38.75 (so basically I added 6.25 to 20, 3 times)
I have an honest question. When he was calculating the standard deviation of the first example, he randomly divided b-a by the square root of 12. Where did he get that 12 from? There hadn't been a mention of the number 12 the whole video. Please, help.
I want to know too
In question 1, he uses a value of 1/40 when calculating the probability density between values of 0 of 40, even though there are 41 values if we include 0. Would this be the same if I were finding the probability density between the prices of $20 and $30? b-a=10, but there are 11 values between 20 and 30, if we include both these values. Wouldn't my probability distribution = 1/11? Please help.
I think it would be 1/10 because you're just using the general formula 1/b-a
Think of it as the bin width of a typical histogram. Instead of counting the very first value in your count, you would start at the end of the first bin width. Ex) in 1-9, 1 isn't counted as 1 bin width until you go to 9. The same applies to 10-19, 20-29, etc... So when you scale your x-axis, pretend the space in between two singular values is 1 bin width. then you will see why 0-40 is 40 values and not 41.
Let's take your 20-30 example.
When we put it on the x-axis, you begin with 20, right? So it would be like: 20 - 21 - 22 - 23 - 24 - 25 - 26 - 27 - 28 - 29 - 30. (You can also draw this for better visualization) Now count in between those numbers. The dashes I put in there represent the space in between two values. Notice how there are 10 of them! That's why we use (b-a) since density curves are basically idealized histograms :)
Question 1)f - Where did the root 12 came from? Anyone please!
This man is amazing
Like, Like, Like! Thank you for your videos.
How is the standard deviation divided by 12 square root
Thank you because my book didn't really explain how it got it's answer!
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for part C. it states LESS than 8 minutes, not 8 OR less, so shouldn't it be 7/40 ?
Not when you are dealing with continuous values.
The graph in this video includes all possible times with infinite precision, and there are an infinite number of times that you can get between 7 and 8 minutes, such as 7.5 minutes, 7.99 minutes, 7.999967 minutes, and so on, so you will need to include all of those values as well.
Also, since one single specific exact time has a 0 probability of occurring --- like P(x = 20) = 0, for example --- there is actually no difference between the intervals (0 ≤ x ≤ 8) and (0 ≤ x < 8).
Amazing 😍
Did u change the equations of the SD?
For part g in the 2nd problem, it is easier to make the new bounds 45 and 30, so 1/45-30 = 1/15 and then u just do (1/15)(45-40) = 1/3
For the standard deviation, why is the base of the rectangle divided by the square root of 12?
Thank you 😍
Your font size is always small, why?
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Anyone know where the 12 comes from?
nope
trying to find out.
i'll let you know if i find it
I think it's based on the assumption that all the data falls within 6 standard deviations from the mean in each direction. :)
Yeah, but I assume I'm not allowed to post links here. It's derived from Var(X) = E(X^2) - [E(X)]^2
thank u so so so much