Normal Distribution: Calculating Probabilities/Areas (z-table)
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- เผยแพร่เมื่อ 24 ส.ค. 2024
- This tutorial shows how to calculate areas/probabilities using the cumulative standard normal tables.
For 0 to Z tables: • Normal Distribution | ...
For inverse lookup: • Normal Distribution: ...
Steps for calculating areas/probabilities using the cumulative normal distribution table:
1. Translate the score (x) into a z-score:
2. Find the corresponding area from the z-table.
3. i) For less than area/probability, the area in the table is the answer.
ii) For greater than area, subtract area in the table from 1.
iii) For area between, subtract smaller area from larger area.
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You taught me in 5 minutes what my teacher couldn't in 4 hours. Thank you!
RIGHT!!!...OR THEY DID NOT WANT TO TEACH!
same
teacher couldnt explain in whole semster .. thank you God bless you
I’m still confused
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same here..
For those who came here with their exams tomorrow
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In 11 hours lol
Today, in 3 hours time
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@@awesomebush8711 they gave a couple of values (not Z score) and asked to find mean and variance, not the way I prepared sadly. I messed up. But I did answer the other parts, so I'm confident I will pass. How did yours go??
This is the first time I've ever fully understood this. Holy shit why can't all teachers just explain it like this...
I don't think if this is the first video you are watching you'll understand the concept. I also loved the video have given my thumbs up. But this was a revision for me. I had learnt this earlier, 2 years back.
Agree simply because your teacher already introduce the lesson that helps to understand this video lesson better so better appreciate your teachers effort🙂
6 years later, you’re still explaining what my professor can not! Thank you, thank you, thank you!!!
How do u get the 0.02 there up
I have a question. After finding our Z for example, his first exercise it was -1.2 so according which criteria should we choose 0.02? in order to find its region. I'm confused I need explanation please. Thank you
@@EphraimMenseThere are 2 decimal places in -1.22. The first decimal place is 0.2 which is included in -1.2 and the second decimal place is 0.02. Hope this helps!
@@susannah8342 Thank you!
He explained well,got after 12 years
Who else has a test in a couple of hours?
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taking a stats exam tomorrow.. i couldnt grasp this concept until i watched this video, thank you so much it was very clear and informative
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same situation...
Me tow.
Same here
Not only is this an accessible explanation, the production of the video is top-notch, too! Thank you for sharing it.
Who else is doing stats homework??
Me!
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Thank you sir! Finally a simple explanation in plain language! I won't lie. I've cried more than once this semester because of college stats. This video is a relief. You have a wonderful ability to convey a difficult concept. I assume you are a teacher. If not, you should be. You're a natural at this.
Whos watching at 2024 at this time at march? Me gonna watch it
Watching in april😂😂
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this is absolutely perfect. Couldnt remeber this for like 3 years, and suddently it came back at me. thank you very much
Thank you so much! I’m in eighth grade and I didn’t understand this lesson since we were only given worksheets and left to understand it alone. This really helped. I checked other videos but it made me confused more. While this literally helped me understand and helped me what the tables are for. Now I can finally answer my assessment and enjoy summer vacation☺️
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Got my Stats test tomorrow and your videos are a Savior. Gracias!! :)
Thank you very much Joshua for having demonstrated the meaning of z-scores so clearly!
THE BEST tutorial ever ..... beats my crappy university lectures who spend hours and this guy manages to teach it GRACEFULLY and perfectly in 5 minutes . THANK YU
Ive been struggling with the z-table and you just made it feel so much easier in 5 minutes. Thank you so much
I just read the whole chapter in my textbook. Thank you so much for this, this makes so much more sense.
I am studying for the National Board Certification for aya math, and this was an excellent tutorial. Bravo!
I have a question. After finding our Z for example, his first exercise it was -1.2 so according which criteria should we choose 0.02? in order to find its region. I'm confused I need explanation please. Thank you
Your video for normal distribution is the BEST one. Within 5 minutes I got everyting.
Glad to hear that! Thanks.
Sir, you are a lifesaver! Thank you for this informative, and concise lesson.
This 5min video is really helpful. Short and clearly explained. Thanks🙏
After six years of your video make me smile.
Thanks a lot and operation to Normal Distribution
I don't know how to show up my thanks to this person, because this video is greatly helpful for me as a statistics student. Thank you so much!
Thanks for dropping a line. Much apprecited.
OH MY!!! THIS WAS AWESOMELY AMAZING!!! I've been doing this statistics for 4 weeks now and this is the only time I get it after watching this video. THANK YOU!!
thank you so much, sir...I was studying the whole day looking for this simple part that you made clear... especially your summary.
You are a very good teacher ,,, thanks for this ,I really do appreciate
You're welcome, Elizabeth.
Damn bro
You nailed it in 5 min thanks
easy to understand, straight to the point. thank you so much for this. wish you were my professor, haha
i think you just saved my life, i thought i understood this but i keep forgetting and mixing
The best stats class I ever had
This is amazing, I even had to leave a review. Keep on doing such tutorials, it really helped. Thank You so much
Comment number 1000 :
Thanks a ton man...I was really struggling hard with this topic and you explained it superbly in just 5 mins🤧🤧
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this is the only video I could find ab 9 hours before my test when the speaker's voice was tolerable to listen to lol thank you
This video had a great explanation. My math teacher just talks to much and I could not understand this for months. Now, its easy, thanks Joshua
Glad it helped! 🙏
you explained the reasons why we need Z scores, this was very useful!!. Many videos don't explain this. Well done
Clearly explained / no nonsense. Thanks man!
Glad you liked it!
Thank you thank you a lot. Your video in 3 mins equals my teacher 1 hrs.....
i have my stat class right now and thanks for this video it helps a lot to me
Thank you for these videos-they are extremely helpful and well thought out - and your voice is very calming. You’ve helped me several times and I greatly appreciate it.
Needed a refresher course in stats for a computer class. This was one of the clearest and concise explanations I have encountered. Thank You!
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Really happy that this video exists and that everything is explained well and quickly, thank you!
Prepping for my FE (other disciplines) and this is perfect explanation! Thank you.
Probably the best explanation for finding the z-scores from z tables on the internet!
You saved my grade! Thank you for your video and your willingness to break it down so simply!
I have a question. After finding our Z for example, his first exercise it was -1.2 so according which criteria should we choose 0.02? in order to find its region. I'm confused I need explanation please. Thank you
The way God bless you for this perfectly explained video eh. Thank you very muchhhh!!!
damn this is actually so easy, spend one hour reading my lecturers notes on how to do it and didn't understand shit. Thanks brother
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If X is a normal random variable with mean 12 and standard deviation 2, how can we standardize X to be a standard normal random variable Z?
This man made rocket science seem like alphabets
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5minutes 20 seconds for what my lecturer couldn't explain for almost 2 weeks
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Simple,precise and straight to the point 🎉
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This video helped me loads. Thank you so much for making the lesson very clear and simple.
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thank you ...I was finding it difficult to read the z table but your video made it easy
Glad it helped!
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You are a GOD, i couldn't understand anything untill
i saw this video
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only if university professors could teach something that simply
Thanks you!
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Joshua thank you for this wonderfully simply but extremely informative video
well explained sir tomorrow is my paper and ur teaching style clear my confusion thanks alot😍
took statistics 2 years ago and forget, this is so clear, thank you Joshua
after watching around 30 hours videos finally get into idea by help of this blessing man thanks mate
Nice video, very informative. Helped me a lot for the exam review
watching this because I don't pay attention during math
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Glad it was helpful!
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You literally saved my life!
Why did you use the column 0.02?
By looking at the decimal for the zscore. Since the zscore was -1.22, you use the colum for 0.02
Because the Zscore was -1.22 you find the tenths place (1.2) on the vertical values. Then you find the hundredths place of 1.22 (.02) in the columns.
So if your z score was -1.23 then go to row 1.2 and column .03, If the z score is -1.24 then the row is still 1.2 but the column will be .04
Hope that makes it clear.
Audrey Mendez,
Your explanation helped me to understand why the person in the tutorial selected those particular columns. I think he did not explained that part in the video.
You nailed it though.
Thank you.
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Thank you mister , this was helpful. God bless you and your family.
You are very welcome
Absolutely Understood Sir....had been struggling to..From Africa Kenya..be blessed👍
This took me long to understand bc my professor explained it but I never understand why he wrote .5 on the bell curve but now I see why he wrote .5 on the left side of the bell curve. I was trying to understand the z-score answer not knowing that you don’t round the numbers but move the decimals two places and to check the z-score table this video has helped me under the topic less than 5 minutes but I’m not gonna say I watch it once and I got it nooo I had to replay this video to understand and now that I understand it this made things very clear to understand how to find the probability
Perfect...Just absolutely Perfect!!.... This was all that I needed to know. This again proves that TH-cam videos are better than University lectures!
2:10 do u know why it is 0.02 instead of the other numbers pls help :(
What a great explanation! Clear concise and to the point. Really admired you.Thank you soooo much.
This is the best video I've seen so far, thank you!
Correct!!!! This is quite helpful. My prof has been creating a mountain out of a molehill.
Thanks for your help! My teacher wasted a whole week to teach me this.
🙏
Honestly learnt more in 5 mins than hours from my teacher 👍🏽👍🏽
Thank u! Honestly, I didn't understand our teacher during her discussion even though I did listen carefully but I really could not understandand because of you it's easy for me to understand.