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 P(X=x)=(nx​)pxqn−x where n= total number of trials p= probability of success q=1−p= probability of failure x= number of successes in n trials n−x= number of failure in n trials Consider the experiment consisting of 50 tosses of a fair coin and let X be the number of heads. Construct a program in R to show that X is binomial distributed.