1. _________- leave it blank 2. You toss a fair coin 4 times. What is the probability that (round to 4 decimal places) a) you get all Heads? b) you get at least one Tail? 3. Suppose that 31% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal rounded to 4 places. 4. With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. The ABC Electronics Company has just manufactured 1500 write-rewrite CDs, and 170 are defective. If 5 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted? Rounded to four decimal place accuracy. 5. When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from three people are combined and the mixture tests negative, we know that all three individual samples are negative. Find the probability of a positive result for three samples combined into one mixture, assuming the probability of an individual blood sample testing positive for the virus is 0.08. Round the answer to four decimal place accuracy.

6. In a large population, 66% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal to 4 places. 7. Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 15 of the 50 boxes on the shelf have the secret decoder ring. The other 35 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring? (Give answer as a decimal correct to four decimal places.) 8. Round all answers to 4 decimal places.

a. A bag contains 66 redred marbles, 1010 whitewhite marbles, and55 greengreen marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a redred marble and then a greengreen marble?

Giving a test to a group of students, the grades and gender are summarized below

b. A bag contains 1010 blueblue marbles, 55 greengreen marbles, and66 whitewhite marbles.If two different marbles aredrawn from the bag , what is the probability of drawing first a blueblue marble and then a whitewhite marble? 9.

Giving a test to a group of students, the grades and gender are summarized below Grades and Gender If one student is chosen at random, find the prlz-babilityr that the student was female AND got a "A". Round 1your answer to 4 decimal places. :1 Giving a test to a group of students, the grades and gender are summarized below Grades and Gender A B C Total Male 8 4 9 21 Female 3 19 17 39 Total 11 23 26 60 If one student is chosen at random, find the probability that the student was male OR got an "A". Round your answer to 4 decimal places.Giving a test to a group of students, the grades and gender are summarized below. Round your answers to 4 decimal places. Grades and Gender If one student is chosen at random, a. Find the probability that the student got a C: :1 b. Find the probability that the student was male AND got an "A": c. Find the probability that the student was male DR got a \"C": :1 d. If one student is chosen at random, find the probability that the student was male GWEN they got an 'A': [:l A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118 If we randomly select one of the adults who participated in this study, compute: (round to four decimal places) a. P(Democrat) = b. P(worse) = c. P(worse | Democrat) = d. P(Democrat | worse) = e. P(Democrat and worse) =Earth is Not Don't know Total warming warming (or refuse) Conservative 0.11 0.2 0.02 0.33 Republican Mod/Lib 0.06 0.06 0.01 0.13 Republican Mod/Cons 0.25 0.07 0.02 0.34 Democrat Liberal Democrat 0.18 0.01 0.01 0.2 Total 0.6 0.34 0.06