Q Math 54 Collected Work Section 6.2 Collected Work Name: Total points: 10 1. Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of Clarinex-D, 5% of the patients in the study experienced insomnia as a side effect. A random sample of 20 Clarinex-D users is obtained, and the number of patients who experienced insomnia is recorded. (a) Find the probability that exactly 3 experienced insomnia as a side effect. (b) Find the probability that 3 or fewer experienced insomnia as a side effect. (c) Find the probability that at least 8 experienced insomnia as a side effect. (d) Find the probability that between 1 and 4 patients inclusive, experienced insomnia as a side effect. (e) Find the mean and the standard deviation of number of patients experienced insomnia as a side effect. (f) Would it be unusual to have 7 patients experienced insomnia as a side effect? Explain. 1

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