Independence Day

Part 1: Joint Distributions

Define a function independent_joint(pr_X, pr_Y) that takes two instances of DDist as input. These DDist inputs represent distributions over independent random variables X and Y. Your function should make use of make_joint_distribution to return an instance of DDist representing the joint distribution \Pr(X,Y).

Enter your code for independent_joint below. Assume that all the classes and functions from lib601.dist have been imported with:

from lib601.dist import *

def independent_joint(pr_X, pr_Y): pass #your code here

Part 2: Sums

Assume that A and B are independent random variables with integer support. Write a function independent_sum(pr_A, pr_B) that takes as input two instances of DDist, which represent the distributions over A and B, respectively, and returns an instance of DDist representing the distribution over a new random variable C, where C = A + B.

Enter your code for independent_sum below. Assume that all the classes and functions from lib601.dist have been imported with:

from lib601.dist import *

and that a working definition of the independent_joint function is available.

def independent_sum(pr_A, pr_B): pass #your code here