2. For each problem: State whether it is a marginal, conditional or joint probability question Translate the question using probability notation Answer using a fraction, decimal (to 4 decimals) and the percentage (to 1 decimal) Recall the data from a study of the factors that impact birth weight Here the variable Visit Doctor indicates whether a woman visited a physician during the first trimester of her pregnancy. The variable Low Weight indicates whether a baby was born weighing under 2500 grams. Normal Weight Low Weight Total Didn't Visit Doctor 64 36 100 Visited Doctor 66 23 89 Total 130 59 189 a) Suppose that a nurse is conducting interviews for a random sample of women in this study. What is the chance that the woman selected had a low weight baby? b) If a nurse randomly selects a woman from this study who did not visit a doctor during the first trimester of her pregnancy, what is the probability that she had a low weight baby? c) If a nurse randomly selects a woman from this study, what is the chance that she did not visit a physician during the first trimester of her pregnancy and also had a low weight baby? d) If we randomly select a woman from this study who had a low weight baby, how likely is it that she did not visit a physician during the first trimester of her pregnancy? e) Is there an association between visiting a doctor during the first trimester of pregnancy and low weight births? (You will need two percentages here.)