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As a part of a new healthcare reform, hospitals must report incidence of specific demographic and...

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Basic Math

As a part of a new healthcare reform, hospitals must reportincidence of specific demographic and health care outcomes tomaintain funding. Within this report, it was found that 23.3% theMedicare population in Westmoreland county is Diabetic. As part ofa random survey to determine if current preventative measures arehelping to target this, a random sample of 50 individuals withinthe Medicare population we sampled.

Let X be the number of individuals who areDiabetic.

  1. Can X be considered a binomially distributed random variable?Why?
  1. Identify n and p for this problem.
  1. Can variables X be well-approximated by normal randomvariables?
  1. What is the expected number of diabetic individuals for thisproblem?
  1. What is the variance for the number of diabetic individuals forthis problem?
  1. How many combinations are possible that consists of exactly 20people that are diabetic?
  1. What is the probability of observing 20 diabeticindividuals?

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