1. Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 95 people in the 18-21 age bracket and finds that 81 of them respond and 14 refuse to respond. When 281 people in the 22-29 age bracket are contacted, 263 respond and 18 refuse to respond. Assume that 1 of the 376 people is randomly selected. Find the probability of getting someone in the 18-21 age bracket OR someone who refused to respond. Report the answer as a percent rounded to one decimal place accuracy.

2. A bag contains 88 yellow marbles, 44 green marbles, and 77 red marbles. Let's call the event A "Drawing a yellow marble" and event B "Drawing a red marble". Are the events A and B mutually exclusive? Are the events A and B independent if the first marble is replaced before the second draw? Are the events A and B independent if the first marble is not replaced before the second draw? If one marble is drawn from the bag, what is the probability of drawing a red marble and a yellow marble (on the same draw)? If one marble is drawn from the bag and replaced, then another marble is drawn, what is the probability of drawing a red marble than a yellow marble? If one marble is drawn from the bag and not replaced, then another marble is drawn, what is the probability of drawing a red marble than a yellow marble?

3. Danielle buys a bag of cookies that contains 9 chocolate chip cookies, 4 peanut butter cookies, 8 sugar cookies, and 8 oatmeal raisin cookies. What is the probability that Danielle randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects another chocolate chip cookie? Express your answer as a reduced fraction.

4. According to Masterfoods, the company that manufactures M&Ms, 12% of peanut M&Ms are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example, 0.123] Compute the probability that a randomly selected peanut M&M is not orange. Compute the probability that five randomly selected peanut M&Ms are all brown. If you randomly select five peanut M&Ms, compute the probability that none of them are orange.

5. 3 cards are drawn at random from a standard deck. Find the probability that all the cards are hearts. Find the probability that all the cards are face cards. Note: Face cards are kings, queens, and jacks. Find the probability that all the cards are even. (Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13)

6. In a large population, 63 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places) or fraction.

7. Assume that a procedure yields a binomial distribution with a trial repeated n=10n=10 times. Use either the binomial probability formula (or technology like Excel or StatDisk) to find the probability of k=1k=1 successes given the probability p=p=3/20 of success on a single trial. (Report answers accurate to 4 decimal places.) P(X=k)=