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binomial random variable, the number of successes is fixed and the number of trials is random.
 
binomial random variable, the number of successes is fixed and the number of trials is random.
 
*Then  probability mass function of the negative binomial distribution is:
 
*Then  probability mass function of the negative binomial distribution is:
nb(x;r,p)=(x+r-1 p^r (1-p)^x   
+
nb(x;r,p)=(x+r-1 p^r (1-p)^x  r-1)         
                    r-1)         
   
*For example:If a fair coin is tossed repeatedly, what is the probability that at least 10 tosses are required.
 
*For example:If a fair coin is tossed repeatedly, what is the probability that at least 10 tosses are required.
 
to obtain heads 8 times
 
to obtain heads 8 times
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