Assume that you are on the job market and get an interview now. The HR is one of the two types: Interested or Not interested. Suppose the probability that the HRs smile and nod the head given they are Interested is roughly 0.7. Before you go to the interview, you checked that the company accepts 15% of the candidates (i.e.,() = 0.15).

What is the probability that the HR is interested in you when you interview, and he smiles and nods the head?