Prob & Stats Chapter 14 Review ______________________________________________________________________________ 4. People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 4 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor? 5. Use the table above. a. What is the probability that a full time student visited the tutoring center once? Prob & Stats Chapter 14 Review b. What is the probability that a part time student visited the center two or more times? c. If a student visited the center two to three times, what is the probability that the student is full time? __________________________________________________________________________________ 6. Stat students were asked what their favorite meal was. 45% like pizza best, 60% like burgers best, and 20% cannot decide between the two so they like both. Draw a Venn diagram and calculate the following: a. The probability that a randomly selected Stat student likes pizza OR burgers? a. The probability that a randomly selected Stat student likes pizza AND burgers? b. The probability that a randomly selected Stat student likes pizza OR burgers, BUT NOT BOTH? __________________________________________________________________________________ 7. Are the following events independent or dependent? EXPLAIN! P(A)= 0.4 P(B)= 0.6 P(A∩B)=0.24 __________________________________________________________________________________ 8. Suppose that PA took a survey of 350 college students who graduated within the last four years. Each student is asked the type of college attended (public or private) and the family’s income level (low, middle, high). Use the table below to answer the questions. Express probabilities as simplified fractions. Public Private Total Low 120 20 140 Middle 110 50 160 High 22 28 50 Prob & Stats Chapter 14 Review Total 252 98 350 Find the probability of randomly selecting a student who a) b) c) d) is not from a high-income family. attends a private college. is from a high-income family or a public college. attends a private college and is from a middle-income family. 9. Ethan is trying to decide what to wear on his first day back to school. He has to choose either blue, black or grey sweatpants. He has a PA t-shirt, a Yankees t-shirt, and a “Mrs. Cocco is the best” t-shirt. Please draw a tree diagram of all possible outfits and determine the probability that Ethan chooses grey sweatpants and the “Mrs. Cocco is the best” shirt. 10. You pick 3 cards at random from a deck. What is the probability of each below: a. You get no Kings. b. You get all spades. c. You have to wait until the last card to draw a red card. d. You get at least one club. 11. Make a tree diagram to answer the following. Students at PAHS need to decide if they are returning to in-person learning. Of those surveyed, 72% students plan on returning. Of those returning, 24% say they are planning on using their own laptop. Of those remaining all virtual, 68% say they will use their school chrome books. What is the probability that a randomly selected student is in-person and uses a school chrome book? What is the probability that a randomly selected chrome book user is in-person? (Note: this is asking what is the probability that a student is in-person, GIVEN they are using a chrome book user.)