6. Prison Populations If 25% of U.S. federal prisoninmates are not U.S. citizens, find the probability that2 randomly selected federal prison inmates will not beU.S. citizens.

It is estimated that approximately 8.36% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 94.5% of all adults over 40 with diabetes as having the disease and incorrectly diagnoses 2% of all adults over 40 without diabetes as having the disease. Round final answers to four significant digits   b) Find the probability that a randomly selected adult of 40 is diagnosed as not having diabetes.

Suppose the prevalence of type II diabetes in a community is 36%. Researchers want to sample 16 individuals from the community for a new public health study. Let ? denote the number of individuals with type II diabetes among the 16 selected individuals.   What is the probability of at least one individual with type II diabetes?

In a sample of 1500 adult U.S. citizens, 690 said that Donald Trump was the worst president in U.S. history. Three adult U.S. citizens are selected at random. Find the probability that at most two of the three adult U.S. citizens say that Donald Trump was the worst president in U.S. history