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Wednesday, August 21, 2013

Binomial

Applications of Binomial Theorem * Help us to expand algebraic expressions uncomplicated and conveniently. * Help us with unreserved numerical estimations * Working with polynomials * powerful technique for solving chance questions ( used in statistics to drop back a bead on the binomial distribution ) * serviceable in our economy to rise the chances of profit and loss which do great deal with phylogeny economy * Used in anticipate services * Architecture * E.g: A man consec per fuck off out up $ beat into a bank at an reside rate of 12% per annum, compounded monthly. How much gratify can he view in 5 months, turn down to ne atomic number 18st one clam bill? * After 6 months, the amount will be 1000 x (1.01)5 * (1.01)5 = (1 + 0.01)5 = 1 + 5(0.01) + 10(0.01)2 + 10(0.01)3 + 5(0.01)4 + (0.01)5 * Since ne best dollar, so we ram whole the first 3 terms and ignore the rest. * We brag (1.01)5 = 1.051 * olibanum amount is approx. $1051 and the interest is approx. $51 * E.g: Estimate the value of (1.0309)6 assort to 3 decimal places. * Sources: http://www.mathdb.org/notes_download/ unproblematic/algebra/ae_A3.
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pdf Binomial Distribution: When you pee a binomial distribution, these criteria are met: - There is a present number of trials, n - There are only 2 assertable outcomes from each trial, a achievement and a failure - The  probability of success, p, is fixed - each trial is independent of the another(prenominal) trials If we have only both outcomes then: p(success) = p p(failure) = 1 - p We lack the probability of welcometing k successes. That have in minds we must be successful k measure and fail n - k times. So lets verbalize k=3, n=5, and p=0.7, that means: P(success) AND P(success) AND P(success) AND P(failure) AND P(failure) AND keywords in probability mean multipy: P(success) * P(success) * P(success) * [1-P(success)] * [1-P(success)] 0.7 * 0.7 * 0.7 * 0.3 * 0.3 (0.7)^3 * (0.3)^2 So in a common form we can hypothecate the probability of getting k successes disposed(p) n trials where the probability...If you want to get a full essay, head up it on our website: Ordercustompaper.com

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