A pilot study is proposed to evaluate whether a new medication is effective in c
ID: 3048890 • Letter: A
Question
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 medications 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 1month from the initial contact.
What is the distribution X = {a number of patients show up for the clinical assessment}?
Explanation / Answer
Answer:
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 medications 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 1month from the initial contact.
What is the distribution X = {a number of patients show up for the clinical assessment}?
X follows binomial distribution with p=0.9 and n=10.
Binomial Probabilities
Data
Sample size
10
Probability of an event of interest
0.9
Statistics
Mean
9
Variance
0.9000
Standard deviation
0.9487
Binomial Probabilities Table
X
P(X)
0
0.0000
1
0.0000
2
0.0000
3
0.0000
4
0.0001
5
0.0015
6
0.0112
7
0.0574
8
0.1937
9
0.3874
10
0.3487
Binomial Probabilities
Data
Sample size
10
Probability of an event of interest
0.9
Statistics
Mean
9
Variance
0.9000
Standard deviation
0.9487
Binomial Probabilities Table
X
P(X)
0
0.0000
1
0.0000
2
0.0000
3
0.0000
4
0.0001
5
0.0015
6
0.0112
7
0.0574
8
0.1937
9
0.3874
10
0.3487
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