success on one trial and there are n trials probability St 2 A sample of 10 first round appeals have been received so we have n 10 10 Let p be the probability that a first round appeal was successful It is given that 35 of first round appeals were successful This percentage must be converted to a probability as follows f x f x p f 0 percentage 100 35 100 n x n x 0 35 Of interest is the probability that none of the appeals will be successful Letting x be the number of successful appeals the probability that x 0 35 This is a binomial experiment with n 10 p 0 35 and x 0 Use the binomial probability function to find this probability rounding the result to four decimal places 1 n p n x where px 1 p n x x n x x 1 p n x Recall the binomial probability function below where x is the number of success p is the probability of a 10 0 10 0 35 1 0 0 0 is to be found