Please kindly provide detailed step by step solution for the attached problem

Question 2) A data scientist is interested in studying the relationship between having a social media account and obesity. He collected some data represented in the following table. (2.1) (2.4) Having a social media account | Obesity Individuall Yes Yes Individuals Yes Yes Individual4 No No Individual5 No Yes Find the probability distributions of having a social media account and obesity and the joint probability distribution of having a social media account and obesity. ) Are these two random variables independent? The data scientist is interested in whether having a social media account helps gain in- formation about obesity. The concept of mutual information quantifies how one feature is related to another future. The mutual information is defined as follows for two random variables XY and Y. Pyy(,Y) ). mutual information = py (x.y) In (ane a dX XY Py (x)py, (y) Suppose the joint probability distribution of having a social media account and obesity is shown by py (x,y) and the marginal distributions of having a social media account and obesity are p, (x) and p,.(y) respectively. Compute the mutual information between having a social media account and obesity. [You can use a calculator to find In(z).] Theoretically, what is the mutual information of two independent random variables