Casio fx-9750GII - Binomial Formula (Distribution, Including Cumulative Distribution)

Рет қаралды 158,011

9 жыл бұрын

Compute a binomial formula (distribution) and binomial cumulative distribution on a Casio 9750 graphing calculator (amzn.to/1AVxr78).
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Approximate script:
I'm going to cover 3 binomial distribution problems using a Casio 9750 graphing calculator. Suppose at a very large college, 30% of students are on the Dean's List. Then suppose I sample 15 college students at random. What is the probability that exactly 5 of the students will be on the Dean's List?
The first problem requires the binomial formula since I want to know what is the probability that exactly 5 of the 15 students will be on the Dean's List. In this example, the number of trials is n = 15, the number of students who satisfy the condition is x = 10, and the probability a random student satisfies the condition is 0.3.
I can compute this result on the Casio calculator by first going to the Stat section using Menu and then hitting 2. Then I can hit F5 for Distributions, F5 again for Binomial distribution, and F1 for Binomial probability distribution. Next, I enter the details into the calculator. Here it's showing the list view, and I'll need to switch to the variable view by hitting F2. Next I can enter x, which is 5, the number of trials, which is 15, and the probability 0.3. Hitting execute gives the binomial probability: 0.2061.
The second question is, what is the probability that fewer than 4 will be on the Dean's List?
I care about the probability that fewer than 4 of the 15 be on the Dean's List. That is, it can be 0, 1, 2, or 3 students. I could compute the binomial probabilities for each of these scenarios and then add them together, but that would take awhile. Instead, I should use the Binomial cumulative distribution function, which gives the left tail of a binomial distribution. To use it, I'll need to again identify our parameters. As before, the number of trials is 15. For a cumulative distribution, I identify the cutoff for the left tail, which in this case is 3, since I'm looking for fewer than 4. Then the probability is the same as before: 0.3.
I'll exit out to the Stat section. As before, I can go into Distribution, then Binomial. To get the Binomial cumulative distribution, I choose F2 for Bcd. Now I can again enter in the context: x is 3, number of trials is 15, and probability is 0.3. Hitting execute gives the answer: 0.2969.
The last question is, what is the probability that 7 or more will be on the Dean's List?
I want to compute the probability that 7 or more of the 15 students will be on the Dean's List. This is the right tail, and while the calculator won't give me a right tail, I can compute the complement, which is the left tail, and then subtract that from 1 to get the right tail. So as before, I determine x, which in this case will be 6, since I want 7 to be included in the upper tail, the number of trials as 15, and the probability as 0.3.
Exiting back to the Binomial cumulative distribution, I can change the 3 to a 6 and hit execute: 0.8689. And again, this is the lower tail. To get the upper tail, I take 1 minus 0.8689, which is 0.1311.
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Пікірлер: 86

@henrikboronowsky834 7 жыл бұрын

You saved my life in less than 5 minutes

@insert_username9003 6 жыл бұрын

This is a perfect straightforward video with no floggy or 10 minute long explanations-straight to the point and answering exam style questions.

@Voicesampd 8 жыл бұрын

you saved me from buying a $150 calculator, because I could not figure out how to work this one! I praise God for you, thanks!

@andrewforsyth9337 5 жыл бұрын

I have never been so heavily indebted to a single video in my whole life. Praise your soul.

@starspritechippy 4 жыл бұрын

Neither our textbook, nor teacher covered where we could find this on our calculators, this video came as a lifesaver. The example helped me understand what each of the variables meant so I could easily understand it. Thank you!

@minxinwu6716 4 жыл бұрын

I am the only one using Casio in the class. No one could teach me how to use it beside you. Thank you so much.

@rayan8031 2 жыл бұрын

Thank you so much! Love these kinds of videos. No long, unnecessary intros. Just straight to the point!

@alamjim6117 2 жыл бұрын

To the point concise and clear. This man is a gem.

@jeniececollazo7033 6 жыл бұрын

Thank you so much I've had this calculator for months and I did not know how to use it. I'm taking a statistics class right now. This class is extremely hard for me.

@Flemnghsz 8 жыл бұрын

Thank you for this! I have been scared of using the stat functions but this helps so much!

@honsbarrera422 7 жыл бұрын

this is awesome, you can also access the binomial probability from the MAT menu (Menu 1) by selecting the [OPTN] ( button right next to the SHIFT button) [F5] for STAT, [F3] DIST, [F5] BINM, there you can select [F1] Bpd or [F2] Bcd or [F3] InvB

@vrj40 Жыл бұрын

Thank you for this very informative video! It's ridiculous how complicated the manufacturers have made these devices. There are so many controls you cannot figure out what button does what? You've saved my life for my Stats class!