A clinical trial was conducted among 178 patients with advanced melanoma (a type of skin cancer). There were two treatment groups. Group A received Interleukin-2. Group B received Interleukin-2 plus a vaccine. Six percent of Group A patients and 17% of group B patients had a complete or partial response to treatment. One issue is that some patients experience side effects and have to discontinue treatment. It was estimated that 21% of patients receiving Interleukin-2 plus a vaccine developed an arrhythmia (irregular heartbeat) and had to discontinue treatment. Since the side effect was attributable to the vaccine, assume that the patients would continue to take Interleukin-2 if arrhythmia developed but not the vaccine and that the probability of a positive response to the treatment would be the same as group A (i.e., 6%)Suppose we have 10 patients who receive Interleukin-2 plus vaccine of whom 2 develop arrhythmia and 8 do not. What is the probability that exactly 2 of the 10 patients will get a positive response to treatment?

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A clinical trial was conducted among 178 patients with advanced melanoma (a type of skin cancer). There were two treatment groups. Group A received Interleukin-2. Group B received Interleukin-2 plus a vaccine. Six percent of Group A patients and 17% of group B patients had a complete or partial response to treatment. One issue is that some patients experience side effects and have to discontinue treatment. It was estimated that 21% of patients receiving Interleukin-2 plus a vaccine developed an arrhythmia (irregular heartbeat) and had to discontinue treatment. Since the side effect was attributable to the vaccine, assume that the patients would continue to take Interleukin-2 if arrhythmia developed but not the vaccine and that the probability of a positive response to the treatment would be the same as group A (i.e., 6%)Suppose we have 10 patients who receive Interleukin-2 plus vaccine of whom 2 develop arrhythmia and 8 do not. What is the probability that exactly 2 of the 10 patients will get a positive response to treatment?

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