Suppose that we have a binomial random variable X with 6 tri

Suppose that we have a binomial random variable X with 6 trials and p = .45. Determine P(X = 4)

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 =    0.45      
x = the number of successes =    4      
          
Thus, the probability is          
          
P (    4   ) =    0.186065859 [ANSWER]