You are chaplain and a soldier, who has been deployed, has indicated to you that he thinks his wife has been cheating. His reason for this is, that she gave birth 308 days after he was deployed as well as found on the internet that the mean length of pregnancies are 268 days with standard deviation of 15 days. Because the soldier desire to believe his wife, he should know if the length of his wife's pregnancy is possible. In quantitative terms, Determine the probability the soldier is the father of the child?