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Suppose that 80% of adults with allergies report symptomatic relief with a specific medication and the...

Suppose that 80% of adults with allergies report symptomatic relief with a specific medication and the medication is given to 10 randomly selected adults with allergies.

a. What is the plausible distribution of the number of adults out of 10 reporting symptomatic relief after taking the medication, normal, Poisson, or binomial? Find the mean and variance of the distribution you choose.

b.What is the probability that eight or more adults reporting symptomatic relief after taking the medication?

c. What is the probability that the number of adults reporting symptomatic relief after taking the medication is between 3 and 5 inclusive?

d. What is the probability that the number of adults reporting symptomatic relief after taking the medication is two standard deviations or more away from the mean?

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