a) If 20 melanoma patients are given Interleukin-2 plus a vaccine, what is the probability that exactly 5 of them will have a positive response to treatment? b) If 20 melanoma patients are given Interleukin-2 plus a vaccine. What is the probability that at least 3 of them will have a positive response to treatment?

MATLAB: An Introduction with Applications
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My book has these questions and I wanted to know what ia the best way to solve this. We are currently doing probability distribution and combinations.

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 only. Group B received Interleukin-2 plus a vaccine. 6% of Group A patients and 16% of Group B patients had a positive response to treatment.

(a) If 20 melanoma patients are given Interleukin-2 plus a vaccine, what is the probability that exactly 5 of them will have a positive response to treatment?

(b) If 20 melanoma patients are given Interleukin-2 plus a vaccine, what is the probability that at least 3 of them will have a positive response to treatment?
Transcribed Image Text: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 only. Group B received Interleukin-2 plus a vaccine. 6% of Group A patients and 16% of Group B patients had a positive response to treatment. (a) If 20 melanoma patients are given Interleukin-2 plus a vaccine, what is the probability that exactly 5 of them will have a positive response to treatment? (b) If 20 melanoma patients are given Interleukin-2 plus a vaccine, what is the probability that at least 3 of them will have a positive response to treatment?
(c) If 25 melanoma patients are given Interleukin-2 only, what is the probability that exactly 5 of them will have a positive response to treatment?

(d) If 25 melanoma patients are given Interleukin-2 only, what is the probability that at least 3 of them will have a positive response to treatment?
Transcribed Image Text:(c) If 25 melanoma patients are given Interleukin-2 only, what is the probability that exactly 5 of them will have a positive response to treatment? (d) If 25 melanoma patients are given Interleukin-2 only, what is the probability that at least 3 of them will have a positive response to treatment?
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