Determine whether the variable X has a binomial distribution in each of the following cases. If it does, explain why and determine the values of the parameters n and p. If it doesn't, explain why not.
1. You select one row in the random digits Table B from the textbook.
X = number of 8's in the row
2. A fair die is rolled five times.
X = number of times the number 3 is observed.
3. An airplane carrying 100 passengers has two emergency exits -- one at the front of the plane and one over the wings. The plane makes an emergency landing.
X = number of passengers that exit the plane through the front emergency exit
4. A boy asks the same girl to go on a date every day for a week.
X = number of times the girl agrees to go on a date with the boy