The alpha fetal protein test is meant to detect spina bifida in unborn babies, a serious condition that affects 1 out of 1000 children who are born. The literature on the test indicates that 5% of the time a healthy baby will cause a positive reaction. Assume that the test is positive 100% of the time when spina bifida is present. (a) Your doctor has just told you that your alpha fetal protein test was positive. What is the probability that your baby has spina bifida? Answer: (b) Given the answer from part (a), before performing a risky surgery to correct the problem, you decide to perform another test. You may assume that the outcome of the second test is independent from the first one, but given the outcome of the first test, you now have an different estimate of the probability your baby has spina bifida. Using this estimate, calculate the probability that the second test will again be positive.