Binomial Theorem - Challenging question with power unknown Given that the coefficient of x3 is 3 times that of x2 in the expansion (2+3x)n, find the value of n. Difficult question involving the use of nCr formula. Try the free Mathway calculator and problem solver below to practice vari...
Basically a series of past exam questions but the first time this was used I gave all three terms. This was a disaster as the students were able to spot the matches by only finding the first two terms when the most difficult job is finding the third term. Changed to just giving the ...
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Theorem 1. Consider ‘n’ a number of independent trials, each with a probability p of success. The number of successes sn is binomially distributed (n,p), 0 < p < 1. Assuming that np and nε are positive integers and letting ℎ𝑛=𝑠𝑛𝑛hn=snn, it follows that Pn = P{...
statistical model; stress–strength reliability system; parametric bootstrap; Bayes theorem; progressive type-II censoring; simulation; statistics and numerical data MSC: 62F10; 62F12; 62F40; 62F15 1. Introduction Due to its relevance in several fields, including engineering, economics, and quality ...
probability statements than just the normal approximation. Averages of individual plants result in data closer to a normal distribution via the central limit theorem, and in our nodules per root experiment, means of the original data are not as close to a normal distribution as means of square ...