With clear solution, please

Determine if a uniform, binomial, geometric, or hypergeometric distribution would be the best model for each of the following experiments Generating random numbers on a calculator until a 0 appears. Counting the number of women on a civil court jury of 6, selected from a pool of 3 men and 10 women. Rolling a 2 on a die. Predicting the number of tails when ipping a coin 30 times. Find the expectation of a hypergeometric distribution that is formed with a bag of 10 marbles that includes 4 red marbles. You are selecting two marbles and seeking to remove the red ones. A game consists of cutting a shufed deck of cards. If you cut a face card you win 10 cents. If you cut an ace you win 25 cents. If you out anything else you lose a nickel (5 cents}. 1What is the expectation for this game? In a manufacturing process, it is estimated that only 2% of the bolts that are machined are declared defective, that is, they are either too large or too small. In a package of 50 bolts, what is the probability that there is at least one defective bolt