Federal health officials estimate that 67% of all those over age 65 receive the flu vaccine. Suppose 100 people over 65 will be randomly selected.
Let X = the number of people who are vaccinated in a random sample of 100 people (over the age of 65 years).
What is the approximate probability that at least 75 of those selected will have been vaccinated?
Show all work, including justification for using the approximate model to find this probability. You may upload a picture as part of your supporting work if you wish.