1. Determine the types of probability distribution each question would have.

-None -Binomial -Geometric -Hypergeometric

a) A multiple-choice trivia quiz has eight questions, each with five possible answers. What is the probability of at most 2 correct guesses?

b) Bernoulli Trial

c) In an experiment, a die is rolled repeatedly until a number less than 5 is finally shown. What is the probability that it only takes four rolls for this event to occur?

d) There are 30 teachers and students able to go on a field trip. Determine the probability that of the 5 teachers, exactly 3 will be going on the 20-person field trip.

e) What is the probability that a prime number will not occur until the 6th roll with two dice.

f) When playing hockey, you have a 12% of getting a goal. Determine the probability distribution for number of goals missed in 4 attempts.

g) At a charity golf tournament, you randomly get a door prize. There are 4 prizes worth $6, 3 prices worth $10, 8 prizes worth $12, 7 prizes worth $14, and 5 prizes worth $16. What value of prize should you expect?

h) You are playing a game where you gain 2 times the points shown on an even roll and lose the exact points for an odd roll. Determine the expected points you will have.

i) What is the expected number of face cards when dealing out 7 cards.