Question Help Assume that a procedure yields a binomial dist

Question Help

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.

nequals=18,

x=15,

p=0.75

P(15)=? (Round to three decimal places as needed.)

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 =    18      
p = the probability of a success =    0.75      
x = the number of successes =    15      
          
Thus, the probability is          
          
P (    15   ) =    0.170384128 [ANSWER]