In each case, determine if a binomial random variable is in play. If the random variable does not follow a binomial distribution, state why.
a) Waiting time of 10 people to be attended at an emergency room.
b) Number of times you get an even number when you roll a dice 3 times.
c) Possible sum obtained from a roll of a dice 5 times.
d) Number of times a coin is tossed until we get a head.
e) Number of times you get a green ball when randomly picking 4 times (without replacement) from a box with 30 green balls, 15 red balls, 50 black balls, and 5 blue balls.
f) Number of times you get a green ball when randomly picking 4 times (with replacement by always adding a green ball) from a box with 30 green balls, 15 red balls, 50 black balls, and 5 blue balls.
g) Number of times you get a green ball when randomly picking 4 times (with replacement: placing ball back and shaking box) from a box with 30 green balls, 15 red balls, 50 black balls, and 5 blue balls.