The R& D department of a company has developed a new home screening test for diabetes. A demonstration of the type of results that may occur was mandated by upper management. Simulate the probability of obtaining at least 24 positive results and 6 negative results in a set of 30 results. The researchers state that the probability of obtaining a positive result is 80%.
a. Let a two-digit number represent the outcome of running the screening test. Which numbers should represent a positive result?
b. Approximate the probability of obtaining at least 24 positive results and 6 negative results in a set of 30 results by generating 10,000 sets of 30 two-digit numbers.