An experiment that satisfies the following four conditions is called a binomial experiment. 1. There are n identical trials. 2. Each trial has two and only two outcomes. These outcomes are usually called a success and a failure. Each trial is called a Bernoulli trial. 3. P(success) = p , P(failure) = q, and p+q=1. The probabilities p and q remain constant for each trial. 4. The trials are independent. For a binomial experiment, the probability of exactly x successes in n trials is given by the binomial formula where n = total number of trials p = probability of success q= 1 - p = probability of failure x= number of successes in n trials 1 - x = number of failure in a trials Consider the experiment consisting of 50 tosses of a fair coin and let Xbe the number of heads. Construct a program in R to show that Xis binomial distributed