Binomial Probability Using the TI-84 

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Good luck on your final! Happy to help!

There are a lot of rules with probability.

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Not all teachers approve of technology!

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Because I'm excluding 0-3. I don't want to exclude the 4. I want it in my answer. If I used 4, then it would be excluded too.

I'm happy to hear it helped you. If it says inclusive that means it includes both the 7 and 9, so you would do the binomcdf(n, p, 9)-binoncdf(n, p, 6). The reason you do the 6 is because binomcdf (n, p, 9) adds everything from 0 to 9, so you only want the values from 7 to 9, so you want to exclude everything from 0-6. Hopefully, that makes sense. You would just replace the n and the p with the values given to you in the problem. I would really appreciate it if you would subscribe! I have a lot of videos on my website mathandstatshelp.com/ . It is free for anyone to use.

@@MathandStatsHelp THANK YOU !!!

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@@MathandStatsHelp thank you!! I was looking for this❤

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I'm not sure what you are asking, based on this video.

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Between 3 and 5, you would need to subtract out what you don't want. If you do binomcdf(n,p,5) it adds up all the probabilities from 0 to 5. If you only want between 3 to 5, inclusive, you want to subtract out 0-2. You would do binomcdf(n,p, 5)-binomcdf(n,p,2)

For at least 1, you would just do 1 minus the probability of 0 successes. 1-binompdf(n,p,0)

The answers will be slightly different, since binomial is discrete and normal is continuous. The binomial answer found using the binomcdf is going to me a more precise answer. The reason for using the normal estimate is that before technology it was to cumbersome to do hand calculations for large samples. The normal distribution would give a close estimate, because of the central limit theorem. If you are using an online platform for homework, it might not be programmed with both answers, and I would do it the way you were instructed in class. Some are programmed with both answers. Some teachers and professors are old school, and only use tables. The binomial table only goes to 20 or 30 depending on the book. I would reach out to your instructor to see if they would take both answers, or if they only want the normal estimate.

@@MathandStatsHelp Got it, thank you

Yes, at least means greater than or equal to. In the calculator, binomcdf starts with adding probabilities from 0 until you tell the calculator to stop. We don't want the values from 0 to 3 in our answer, so we use the compliment rule and do 1 - the sum of the probabilities of the values we want excluded.

I'm not sure if this is what you mean, but example f and g might help: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-3qHIJQ3JNk0.html

Happy to hear it helped

@@brookeofarrell5994 yes it will. For the p just type in 2/5 (2 divided by 5). As long as the probability is between 0 and 1, it will work.

No more than means less than. You would stop at one less than the given number. Let's say the given number is x, you would do binomcdf(n,p,x-1)

This video is a newer explanation: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-3qHIJQ3JNk0.html

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There is not an inverse binomial button. I'm not 100% clear on what you're asking. Are you trying to find x? You could just try different values for x until you get the correct probability.

@@MathandStatsHelp I'm asking about the inverse yes, Basically the question gives me X belongs to Bin (10,0.2) and P (X

Unfortunately, no. They have inverse for t and normal distributions, but not binomial.

@@MathandStatsHelp Alright, Thank youuu

You do if you are using hand calculations. The calculator is programmed to enter the values as nCx*p^x*(1 - p)^(n-x). If you recall, q=1-p.

Here's another video I made that addresses how to find between values: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-3qHIJQ3JNk0.html The examples that address this start about 16 min 35 seconds into the video.

Thank so much! If i may ask another question, and using the same question as before how would you enter “ less then (8), or (15) or more? Would it be the same as the exclusive formula?

You would add the two together. Find the individual values, then add the two probabilities together.

Thanks so much. If you haven’t done so already, it would really be great to do a video with these types of problems that have two values and have ( between, and, or, less then and more than) etc...??

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Since you want the values that are greater than or equal to, you want to exclude all values less than. Say n=5, p=.25, and you want the probability x>=2, you would do 1-binomcdf(5, .25, 1). The last value you want excluded is x-1 or 1 less than the given value.

I'm sorry to hear that you didn't understand what you needed to. If you could be more specific as to what you were confused on, maybe I could help. If you just need to enter the 1- binomcdf(), you can enter the 1 - then go to the menu 2nd VARS and select the binomcdf, you don't have to do any shortcuts. You do have to be careful with the 1-bimoncdf to determine whether the value given is included or excluded. For example if it said more than 4 and your x was 10 and p was .35, since 4 is not included in the answer, you would enter 1 - 2nd VARS find binomcdf (10, .35, 4). You would enter the 4 because you want it excluded from your answer. If it said at least 4, you would do the 1 - 2nd VARS find binomcdf (10, .35, 3) because you only want to exclude 0-3 and you want the 4 to be included in the answer.

Oh My Goodness; I never expected a response; much less such a thorough, timely and helpful one. Your response gave me the exact guidance I was looking for and then some - thank you very much. I appreciate your kindness and your patience; STATS is so stressful, and you treated me with more regard than I deserved - it didn't go unnoticed and I truly thank you for that and for your help. Blessings to you! @@MathandStatsHelp

Glad you figured it out.

Speak more kindly next time! You're lucky you even got a reply.