Tell whether each of these random variables is binomial; if not, tell which condition is not met (fixed sample size n, independence of selections, just two possible values, and constant probability p of being in the category of interest).
a. X is the number of times each high school senior in a sample of size 100 has been married.
b. Overall, approximately 2% of high school seniors are married. The random
variable X is set up for the number of high school seniors that are sampled by a school district until it finds five who are married.
c. Two percent of all high school seniors are married. 500 seniors are randomly surveyed across the country, and the random variable X is the number of surveyed seniors who are married.
d. Two percent of a high school's 100 seniors are married. A school survey randomly selects 40 seniors; the random variable X is the number of surveyed seniors who are married.