Problem 2: A pilot study is proposed to evaluate whether a new medication is eff

Question

Problem 2: A pilot study is proposed to evaluate whether a new medication is effective in controlling the symptoms of asthma. A sample of 10 patients with asthma is enrolled in the pilot study. Each patient agrees to take the study medication and to report back to the study evaluation team in 30 days for a clinical evaluation. Similar studies report that 90% of all patients complete follow-up visits 1 month from the initial contact a. What is the distribution of X fa number of patients show up for the clinical assessment]? b. What is the probability that at least 8 patients show up for the clinical assessment? c. What is the probability that all patients show up for the clinical assessment? d. What is the probability that no more than 4 patients DO NOT show up for the clinical assessment? e, what is the probability that all show up if the true show rate is 87%?

Explanation / Answer

(a) X follows a Binomial distribution with parameters, n (no. of trials) = 10 and p (probability of a patient completing a follow up) = 0.90.

(f) (Question not provided here in this picture).

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