Problem 1) Simple Boolean logic operations. Assume we have four input data samples {(0,0), (0,1),(1,0),(1,1)} to a model. Perform the followings in Python: a) Plot the four input data samples. Label the axes and title as appropriate. b) Write a function that takes two arguments as an input and performs AND operation. The function returns the result to the main program. c) Write two additional functions like in part (b); each would perform OR and XOR operations and return the result to the main program. d) Create a for loop to call the three functions each for data sample each time. e) Store the output of each function in a separate list/array. f) Print out the results for the three functions at the end of your program. g) Note: do not use the internal Boolean (AND, OR, XOR) functions in Python; instead, utilize conditional statements to perform the desired operations