Step 1 :The experiment is a binomial experiment because it satisfies all the conditions of a binomial experiment. The experiment consists of n repeated trials, each trial can result in just two possible outcomes (a baby recovers or does not recover), the probability of success is the same on every trial, and the trials are independent.
Step 2 :A success in this experiment is defined as a baby recovering fully from the ailment.
Step 3 :The number of trials n is the number of babies, so \(n=6\).
Step 4 :The probability of success p is given as 60% or \(p=0.6\).
Step 5 :The probability of failure q is 1 - p, so \(q=1-0.6=0.4\).
Step 6 :The possible values of the random variable x, which represents the number of successes, are all the integers from 0 to n, so \(x=0,1,2,3,4,5,6\).
Step 7 :\(\boxed{n=6, p=0.6, q=0.4, x=0,1,2,3,4,5,6}\)