2. In a population, 90% of all baby girls get immunized against Rubella, early in their childhood (and 10% do not) because it is important for pregnant women to have been immunized prior to pregnancy. On the other hand, 40% of all baby boys get immunized against Rubella in their early childhood and 60% do not. In this population, there are as many females as males. Suppose that a single child is sampled at random from the population. Let B be the event \"the child is a boy\" and let I be the event \"the child is immunized against Rubella\". (a) (3 points) Calculate P(B) the probability that the child is a boy. Also, calculate Pa) the probability that the child is immunized. (b) (3 points) Calculate the probability that the selected child is a girl, given that we know the child has being immunized against Rubella. (c) (3 points) Are these two events B and I independent