Using lisp

Implement the following functions in the same file, complete with short descriptions. Do not use loops for these functions (meaning, use recursion when needed), nor built-in functions that can solve the problem directly.

• A function with a single parameter called prod-list that returns the product of the elements of a list. We can assume that the argument is a list containing only numbers. If the list is empty, the function should return 0. Hint: use recursion combined with the functions car and cdr.
• A function called is-in-list that takes two parameters, the first being a list and the second a value, and returns true (t) if the value is in the list and false (nil) if not. Use the function equal to test for equality of two values.
• A function called median taking 3 arguments and computing the median of them. For example, if the arguments are 5, 2 and 4, the median is 4. This function should not be recursive. Note that some of the arguments can be equal to each other: the median of 7, 3, and 7 is 7.

Evaluate all of these functions and show a few examples of testing them and comment out the results