Thirty patients are enrolled into a clinical trial, with half going to a treatment group and the other half to a control group. Patients are tracked for one week to determine how long it takes for them to recover. The number of patients who recover within a week is recorded; some patients don't recover in this time period and remain sick. Suppose the treatment works for 20% of people in the general population, from which these patients were sampled. (Note: if the treatment “works" that means the patient recovers within one week.) What is the probability that at most 10 patients in the treatment group recover within a week?

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Thirty patients are enrolled into a clinical trial, with half going to a treatment group and the other half to a
control group. Patients are tracked for one week to determine how long it takes for them to recover. The
number of patients who recover within a week is recorded; some patients don't recover in this time period
and remain sick. Suppose the treatment works for 20% of people in the general population, from which these
patients were sampled. (Note: if the treatment “works" that means the patient recovers within one week.)
What is the probability that at most 10 patients in the treatment group recover within a week?
Transcribed Image Text:Thirty patients are enrolled into a clinical trial, with half going to a treatment group and the other half to a control group. Patients are tracked for one week to determine how long it takes for them to recover. The number of patients who recover within a week is recorded; some patients don't recover in this time period and remain sick. Suppose the treatment works for 20% of people in the general population, from which these patients were sampled. (Note: if the treatment “works" that means the patient recovers within one week.) What is the probability that at most 10 patients in the treatment group recover within a week?
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