assume that a procedure yields a binomial distributed with a

assume that a procedure yields a binomial distributed with a trial repeated n times. use a binomial probablity table to find the probability of x success. (P(4)=?)

N=6

x=4

p= 0.50

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 =    6      
p = the probability of a success =    0.5      
x = the number of successes =    4      
          
Matching these information in the binomial probability table, the probability is          
          
P (    4   ) =    0.234375 [ANSWER]