IN C++ Please

Code Required for this homework (can not be modified at all)

// Simpson's numerical integration routine. This function returns an // approximation of the integral of f over the interval [a,b] when // using n subintervals in the approximation process. double simpson(double a, double b, int n) { double sum = 0.0, delta_x = (b-a); int i;

sum = f(a) + f(b); for (i = 1; i

B. (20 points) Approximating the Value of the Normal Probability Density Function (Calculating Probabilities of an Event) According to Wikipedia (https://en wikipedia.org/wiki/Normal distribution), in probability theory, the normal (or Gaussian or Gauss or Laplace-Gauss) distribution is a verv common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known.UI1 A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate Below is the equation for the probability that a normally-distributed random variable x with mean m and variance v will lie in the interval [/:u]: 2 2 2 omics.com/T Constraints: Write a C++ program that has the user input a mean (m), variance (v), a lower bound (J), an upper bound (u), (all type double) and an even-numbered positive value MaxIntervals (of type int) that is greater than or equal to 2 and divisible by 2. Your program will then calculate an approximate value for probability that a random variable x, is within a range from 1 to u (PII