Examples of using Binomial in English and their translations into Thai
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
In this model where we model it as a binomial distribution, what happens if more than one car passes in an hour?
And then, the probability that we have success in each of those trials, if we modeled this as a binomial distribution would be lambda over 60 cars per minute.
So the expected value of X, the expected value of our random variable that's being described as binomial distribution-- it's equal to the sum.
So if this is a binomial distribution then this lambda would be equal to the number of trials times the probability of success per trial.
And we have done that several times already, when we did the binomial theorem, which we took to the third power.
You could draw it out really fast and do this, and it's probably faster than actually computing each of the binomial coefficients.
And if you don't know the binomial theorem, go to my pre-calculus play list and watch the videos on the binomial theorem.
Initially the whole exercise-- I know I jump around a little bit-- is to show you that the normal distribution is a good approximation for the binomial distribution and vice versa.
And that's why it's called a binomial coefficient, because it's actually the coefficient of the binomial theorem.-- Of x to the n minus k-- oh, sorry, I keep writing x.
So this binomial is one of them, so they're saying 3x squared minus 2x, and when you add that to some other binomial-- and I don't know, let me just write that as A.
And then he uses the pattern for square binomials to expand the right-hand side.
And now we just multiply both binomials, x times 2x, 2x squared.
When you multiply these two binomials, you're really just doing the distributive property twice.
So when you multiplied these, you know, you could kind of view this as multiplying these two binomials.
You can do it the same way as you would just multiply two regular algebraic binomials.
In this video, I'm going to attempt to give you an intuition behind why multiplying binomials involve combinatorics.
And actually, I even have a video why it's called the binomial because these coefficients show up when you actually multiply binomials.
Now, you might be tempted immediately to try to factor the left-hand side of this equation to get the product of two binomials, and that they equal negative 20.
Well, Newton discovered Binomial Theorem aged 22.
Well, Newton discovered Binomial Theorem aged 22.