Determine whether the variableXhas a binomial distribution in each of the following cases. If it does, explain why and determine the values of the parametersnandp. If it doesn't, explain why not.

(a) You randomly select one card from each of ten different decks of playing cards. X= number of Clubs selected

(b) 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

(c) You toss four fair coins -- a loonie, a quater, a dime anda nickel. X= number of coins that land on Heads

(d) A fair die is repeatedly rolled.

X= number of rolls required to observe the number 5 for the third time

(e) A fair die is rolled five times. X= number of times the number 3 is observed.

(f)You are dealt a five-card poker hand.

X= number of Diamonds in your hand

(g) Weights of oranges sold at a supermarket follow a normal distribution with mean 175 grams and standard deviation20 grams. You take a random sample of 7 oranges.

X= number of oranges that weigh more than 200 grams

(h) 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