A study has investigated the impact of a new blood pressure medication on patients with hypertension. Scientists have modeled the outcome of the study with the bayes net shown below. Blood Pressure +m -m (Medicine P(M) 0.5 0.5 P(+1 | M) P(-1 | M) (Lowered Blood +m 0.86 0.14 Pressure -m 0.22 0.78 (3a) What is the marginal probability, P(+/) that a study participant's blood pressure has lowered? Type Markdown and LaTex: 02 (3b) We know of a patient whose blood pressure has lowered (+/) over the course of the study, but we do not know the treatment that was administered. What is the conditional probability P(+m| + /) that the patient recieved the real blood pressure medication?(3c) Fill in the joint probability table over M and L. Round the probabilities to the nearest 2 decimal places. M L P/M,L) +m + -m +1 -m (3d) Suppose the study also collected data on side effects experienced by patients. In addition, researchers also track the blood pressure of participants for 3 months after the study. The model is now expanded by introducing two random variables. The new bayes net is shown below. +m -m Blood Pressure Medicine P(M) 0.5 0.5 P(+1 | M) P(-1| M) P(+a | L) P(-4 | L) (Lowered Blood #m 0.86 0.14 +1 0.81 0.19 Pressure -m 0.22 0.78 0.17 0.83 P(+s | L) P(-$ [ L) BP Improvement (S)ide Effects +1 0.20 0.80 (A)fter Study Experienced 0.11 0.89 Fill in the missing values in the full joint distribution below. Round your answers to the fourth decimal place.Fill in the missing values in the full joint distribution below. Round your answers to the fourth decimal place. M L A S P[M, L, A, S) 0.0897 0.0854 0.0106 0.0517 0.0178 0.0713 0.0042 0.0358