1. In a clinical trial with two treatment groups, the probability of success in one treatment group (call this group A) is 0.5, and the probability of success in the other is 0.6 (call this group B)....

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Extracted text: 1. In a clinical trial with two treatment groups, the probability of success in one treatment group (call this group A) is 0.5, and the probability of success in the other is 0.6 (call this group B). Suppose that there are five patients in each group. Assume that the outcomes of all patients are independent. Thus the number of successes in each group follows a binomial distribution. Calculate the probability that the first group (group A) will have at least as many successes as the second group (group B).