Question:

Clarinex-D is a medication intended to reduce symptoms associated with allergies.In clinical trials, 5% of patients experienced insomnia as a side effect.If 240 users of Clarinex-D are randomly selected:(a) Let X = number of people in the sample who experience insomnia as aside effect. Give the values of n and p for this binomial random variable.(b) What is the expected number of people in the sample who experienceinsomnia as a side effect?(c) The value of p is fairly small (not close to 0.5). Show that our sampleis large enough for the distribution of the random variable X to beapproximately bell-shaped. (Remember the rule of thumb!)(d) Based on the empirical rule, what range of values should contain 68% ofthe values of X?(e) Would a sample with 30 people suffering from the insomnia side effectbe considered unusual?