We would like to write a collection of functions that do operations on a list of numbers. For example, suppose we write a function max_val. The function takes a list of numbers and returns the maximum value. So, if we passed the list [1,30, 70,-90,80,2] the return value would be 80, since 80 is the maximum number in the list. Here is the list of functions we would like to write: (use basic coding, loops, functions, don't use things like the sum function) 1) max_val, return maximum value. 2) min_val, returns minimum value. 3) mean, returns average. 4) std, returns standard deviation. 5) list_append, adds a new element to the end of the list. 6) list_insert, inserts a new element to the list at a desired location (do not use the insert list function). 7) list_add, adds an inputed number to every value in the list. 8) list_subtract, subtracts an inputed number to every value in the list. 9) list_multiply, multiples an inputed number to every value in the list. 10) list_divide, divides an inputed number to every value in the list (be sure to use some sort of error handling for division by zero). 11) vector_add, takes two lists of the same size and adds the elements together. 12) Do subtraction, division, and multiplication for number 11. 13) return a list of number from a n input list of numbers that is greater than an input value (do similar for less than) 14) return a list of numbers of length n sampled from a normal distribution with an inputed mean and standard deviation (this was done in a video lecture). Also plot a histogram of an example output. 15) return a list of numbers of length n sampled from a uniform distribution between two inputed numbers high and low. You need to use modular programing. You are not allowed to use any standard list methods, like append, insert, etc. You need to code from scratch.
We would like to write a collection of functions that do operations on a list of numbers. For example, suppose we write a function max_val. The function takes a list of numbers and returns the maximum value. So, if we passed the list [1,30, 70,-90,80,2] the return value would be 80, since 80 is the maximum number in the list. Here is the list of functions we would like to write: (use basic coding, loops, functions, don't use things like the sum function)
1) max_val, return maximum value.
2) min_val, returns minimum value.
3) mean, returns average.
4) std, returns standard deviation.
5) list_append, adds a new element to the end of the list.
6) list_insert, inserts a new element to the list at a desired location (do not use the insert list function).
7) list_add, adds an inputed number to every value in the list.
8) list_subtract, subtracts an inputed number to every value in the list.
9) list_multiply, multiples an inputed number to every value in the list.
10) list_divide, divides an inputed number to every value in the list (be sure to use some sort of error handling for division by zero).
11) vector_add, takes two lists of the same size and adds the elements together.
12) Do subtraction, division, and multiplication for number 11.
13) return a list of number from a n input list of numbers that is greater than an input value (do similar for less than)
14) return a list of numbers of length n sampled from a normal distribution with an inputed mean and standard deviation (this was done in a video lecture). Also plot a histogram of an example output.
15) return a list of numbers of length n sampled from a uniform distribution between two inputed numbers high and low.
You need to use modular programing. You are not allowed to use any standard list methods, like append, insert, etc. You need to code from scratch.
B)
Write a function for compound interest. This function takes three arguments: 1) the initial balance, 2) the interest rate, 3) the number of cycles to compound. The function will return a two lists. The first list contains the labels of the cycles. The second list contains the balance at each cycle. Plot the results for a few example cases.
C)
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