Eagle flu can be devastating for those who are hospitalized. Researchers at JJ Health Services took a random sample of n=2561 hospitalized Eagle flu patients out of a very large population of hospitalized Eagle flu patients. Of these x = 1497 patients showed a symptom of very high fever (VHF). Let p be the (unknown) true proportion of hospitalized Eagle flu patients who show a symptom of VHF. We want to estimate p. X is the random variable representing the number of sampled Eagle flu patients with VHF a) What type of probability distribution does X have? binomial Weibull     gamma Poisson exponential

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Eagle flu can be devastating for those who are hospitalized. Researchers at JJ Health Services took a random sample of n=2561 hospitalized Eagle flu patients out of a very large population of hospitalized Eagle flu patients. Of these x = 1497 patients showed a symptom of very high fever (VHF). Let p be the (unknown) true proportion of hospitalized Eagle flu patients who show a symptom of VHF. We want to estimate p. X is the random variable representing the number of sampled Eagle flu patients with VHF

a) What type of probability distribution does X have?

binomial Weibull     gamma Poisson exponential



b) What was the sample proportion, p̂, of sampled patients with a symptom of VHF?
c) What is the R formula for the expected value of X in terms of n and p?

sqrt(n*p*(1-p)) n*p      n*p*(1 - p) 1/p n^2
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