The binomial distribution consists of the probabilities of each of the possible numbers of successes x on N trials for independent events that each have a probability ofp of occurring. The formula for the binomial distribution is shown below: For the coin flip example, N = 2 and p = 0.5. The possibility of getting no head (ie. x-0), one head (x-1) and getting two heads (x-2) is calculated as 2! (.5)(1-.5)2-1).25)0.25 P(0)= P( 1 )= ( P(2)=--(,52)(1-5)2-2 =(25)(1)= 0.25 2! 2-1 2!(2-2) Requirement 1: Write a C++ program to compute the binomial probability: when the user types in a value for N (an integer), x (an integer which can be between 0 and N), and p (a positive real number between 0 and Requirement 2: The program should compute the sum of probabilities within a given range typed in b;y the user (i.e. the program can ask the user to input the low end of the value of x and high end of the value of x). For example P(0