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