1.Which if the following is a characteristic of a geometric distribution?

a) There are more than two possible outcomes.

b) The probability of success is not the same for all trials.

c) There are infinitely many observations.

d) You should perform x trials until you observe a success.

e) Each trial is dependent on the previous trial.

2.In a card game, the probability that you will have a hand with five cards in the same suit is about 14%. The dealer wants to know the probability for a player to be dealt this type of hand in one of the first three hands. Should a geometric probability density function or a cumulative distribution function be used? Explain.

a) A geometric cumulative distribution function should be used because the question states that the probability for having this type of hand is about 14%.

b) A geometric probability density function should be used because the question states that the probability for having this type of hand is about 14%.

c) A geometric cumulative distribution function should be used because the question asks for the probability of having a hand with five cards in the same suit in one of the first three hands.

d) A geometric probability density function should be used because the questions asks for the probability of having a hand with five cards in the same suit in one of the first three hands.

e) There is not enough information to be to able to determine whether a geometric probability density function or a cumulative distribution function should be used.