Ole has come up with an allergy medication whose purpose is to reduce symptoms related to a variety of allergies (he calls it AllergX.) In clinical trials 5% of the patients experienced insomnia as a side effect. Ole gathered a random sample of 20 allergy suffers and the number of patients who experienced insomnia is recorded.

a. What's the probability that exactly 3 experienced insomnia as a side effect?

b. How likely is it that 3 or fewer experienced insomnia?

c. Would it be unusual to find 4 or more patients who experienced insomnia? Why?

Question

Ole has come up with an allergy medication whose purpose is to reduce symptoms related to a variety of allergies (he calls it AllergX.)  In clinical trials 5% of the patients experienced insomnia as a side effect.  Ole gathered a random sample of 20 allergy suffers and the number of patients who experienced insomnia is recorded.

a.   What's the probability that exactly 3 experienced insomnia as a side effect?

b.   How likely is it that 3 or fewer experienced insomnia?

c.   Would it be unusual to find 4 or more patients who experienced insomnia?  Why?