Let's say we have a binomial expression, (x+y)n. We can expand this expression using the binomial theorem, which can be expressed as, (x+y)n=(n0)xn+(n1)xn−1y1+⋯+(nn−1)x1yn−1+(nn)yn Note that the coefficient of these terms a...
1. What happens to the value of \ln (x) as x approaches zero? What is absolute error in numerical analysis? How did Newton discover the binomial theorem? How did Isaac Newton discover calculus? What are situations where knowing the exact definite integral is imp...
a尽管意见有分歧,他们对维护世界和平有着共同的利益 Although the opinion has the difference, they to maintain the world peace to have the common benefit[translate] aHe used the binomial theorem to show that the limit had to lie between 2 and 3 so we could consider this to be the first appro...
In 1665 24 year old of discovery binomial theorem. [translate] aOSCIUATORY CYLINDER METHOD OSCIUATORY圆筒方法 [translate] a(1)贵方包装指示获悉。 [translate] a在后来的研究中,又陆续有人提出使用变长模型建模、数据挖掘建模、神经网络建模以及状态转移概率建模等等多种构造正常模型的方法 In afterwards ...
Explain what information does the Probability Density Function (PDF) give in Statistics. Use the normal approximation to the binomial to find the probability for n = 50, p = 0.6, and X = 36. The probability is? Find the probability please show work If P (A) = 0.7, P(B) = 0.8, an...
(x - 5)(x - 3)Product of Binomials:In the product of binomials first, we multiply the terms which occur first in each binomial. Then we multiply the outermost term. The product is one of the four fundamental operators of basic mathematics.Answer and Explanation: ...
The expression should involve only multiplication or division. Values are: __1, -16,__ and __12__. How do you use the binomial theorem to expand and simplify the expression (x + y)^5? Simplify into one fraction: -1/(x - 9) -...
Explain the importance of sampling from a managerial perspective. When using the normal approximation to the binomial, we must apply the continuity correction. What is this and why do we need to use it? Explain the term continuity correction. Why does it work, and how do you use it?
Explain the important points of the Central Limit Theorem. Let X have the pdf f (x) = 4 x^3 if 0 less than x less than 1 and zero otherwise. Find the transformation y = u (x) such that Y = u(x) sim UNIF(0, 1).
Explain what p (of the given statistical phrase) represents. Use the binomial theorem to verify the identity Use the binomial theorem to verify the identity sum_{k = 0}^n begin{pmatrix} n \ kend{pmatrix} = 2^n Explain why computing a variance of several numbers is like analyzin...