2. Birth weights in the United States have a distribution that is approximately normal with a mean of 3000 grams and standard deviation of 750 grams. (Note: To solve each part of this problem, you need to sketch a normal curve, label the mean and any specific x values, then shade the region representing the desired or given probability/percentage.) (a) One definition of a premature baby is that the birth weight is below 2000 g. If a baby is selected randomly, find the probability of a birth weight below 2000 g. (b) If one baby is randomly selected, what the probability that this baby will have a birth weight above 4500 g? (c) If one baby is randomly selected, what the probability that this baby will have a birth weight between 2400g and 4200 g? (d) Another definition of a premature baby is that the birth weight is in the bottom 4%. Find the birth weight that cuts off the bottom 4% for extra care. I