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标题: Binomial Prob [打印本页]

作者: optiix    时间: 2011-7-11 20:07     标题: Binomial Prob

I was thinking about this had a question

If you were to guess on every exam question (and assume that there are 4 answer choice and not 3 although we could solve it either way).

The probability of guessing 70/100 questions correct would by 100C70*.25^70*.75^(100-70).

Lets say 70% is a pass. Is the probability of passing then 100C70*.25^70*.75^(100-70) + 100C71*.25^71*.75^(100-71)+.......100C100*.25^100*.75^(100-100)?
作者: soddy1979    时间: 2011-7-11 20:07

I think the formula is the sum of the probabilities of getting 70/100 + 71/100 + 72/100...100/100, where the (first) formula is .25^70*.75^30 and on and on.
作者: kd26gioi    时间: 2011-7-11 20:07

There are 240 questions, not 100. The odds are zero.
作者: disiz64    时间: 2011-7-11 20:07

Your formula is correct (this is easy to verify e.g. in Excel). The answer is 0.43*10^(-20).



Edited 1 time(s). Last edit at Wednesday, December 8, 2010 at 01:38PM by shootingstar.
作者: lc26mizzou    时间: 2011-7-11 20:07

yeah i tried finding probability of passing cfa level 1 assuming 65% passing rate by guessing entire exam - it was 0
作者: kmf229    时间: 2011-7-11 20:07

no......the binomial we learned was to find the exact probability of choosing x out of n. I was trying to find the probability if choosing at least x (or more) out of n, which is different and hence the question.
作者: bapswarrior    时间: 2011-7-11 20:07

use minitab CDF function (if u r familiar with program) or u will have to count probability of exact result for each one and then sum them up - hassle




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