Assume that a procedure yields a binomial distribution with

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use a binomial probabilities table to find the probability of x successes given the probability p of success on a given trial. N=9,x=8,p=0.60

Solution

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    9      
p = the probability of a success =    0.6      
x = the number of successes =    8      
          
Thus, the probability is          
          
P (    8   ) =    0.060466176 [ANSWER]