(New page: By definition W is a binomial random variable so it's distribution (PMF) can be represented by: P(W = m) = (n-k) ( m ) where m is the number of questions missed. P(W = m) = ...)
 
Line 2: Line 2:
  
 
P(W = m) = (n-k)
 
P(W = m) = (n-k)
          ( m where m is the number of questions missed.
+
            m   where m is the number of questions missed.
  
 
P(W = m) = (4/5)^m *(1 - 4/5)^(n-k-m)
 
P(W = m) = (4/5)^m *(1 - 4/5)^(n-k-m)
Line 10: Line 10:
  
 
P(C) = k + (n-k) (1/5)^r * (1 - 1/5)^(n-k-r)
 
P(C) = k + (n-k) (1/5)^r * (1 - 1/5)^(n-k-r)
          ( r )
+
            r

Revision as of 14:24, 23 September 2008

By definition W is a binomial random variable so it's distribution (PMF) can be represented by:

P(W = m) = (n-k)

            m    where m is the number of questions missed.

P(W = m) = (4/5)^m *(1 - 4/5)^(n-k-m)


B) C = n - W

P(C) = k + (n-k) (1/5)^r * (1 - 1/5)^(n-k-r)

            r

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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