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- For the given pair of events, classify the two events as independent or dependent. Getting caught in traffic Spilling coffee in the car Choose the correct answer below. A. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. B. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. C. The two events are independent because the occurrence of one affects the probability of the occurrence of the other. D. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.A bowl contains 25 balls, 10 of them are blue, 15 of them are black. You select a ball at random without looking. How many balls should you select to be sure of having at least 4 balls of the same color? Answer:It is harder to get into graduate programs in psychology or history? We randomly selected five institutions from among all U.S. institutions with graduate programs. The first number for each is the minimum GPA for applicants to the psychology doctoral program, and the second is for applicants to the history doctoral program. These GPAs were posted on the website of the well-known college guide company Peterson's. Wayne State University: 3.0, 2.75 University of Iowa: 3.0, 3.0 University of Nevada-Reno: 3.0, 2.75 George Washington University: 3.0, 3.0 University of Wyoming: 3.0, 3.0 1. The participants are not people, explain why it is appropriate to use a paired-samples t test for this situation.
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- Given P(A) = 0.2, P(B) = 0.6 and P(A and B) = 0.08. Explain how you know events A and B cannot be mutually exclusive.Experimental or Observational: A group of students is interested in knowing if the number of times they can sink a basketball is related to the color of the basketball. The students shoot a series of baskets and record their success using a regulation colored basketball. They then switch to a blue colored basketball and shoot the same series of baskets. .In a recent survey, 75 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 39 liked them mashed, 39 liked French fried, and 33 liked twice baked potatoes. Additionally, 21 students liked both mashed and fried potatoes, 26 liked French fries and twice baked potatoes, 19 liked mashed and baked, and 12 liked all three styles. How many students hate potatoes? Explain why your answer is correct.