Length of gestation < 20 weeks 20 − 27 weeks 28 − 36 weeks > 36 weeks Probability .0004 .0059 .0855 .9082 Furthermore, the conditional probability of low birth weight, given that length of gestation is < 20 weeks is .540 while this probability is .813, given that length of gestation is 20−27 weeks, is .379 when given that length of gestation is 28 − 36 weeks, and this probability is .035, given that length of gestation is > 36 weeks. (a) What is the probability that an infant has a low birth weight? (b) Show that the events {length of gestation ≤ 27 weeks} and {low birth weight} are not independent. (c) What is the probability of having a length of gestation ≤ 36 weeks given that a child is low birth weight?