6. (2 points) Suppose P(A) = .1, P(B) = -5, and P( BA) = 0.5. A. Are events A and B independent? Prove your answer mathe

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6 2 Points Suppose P A 1 P B 5 And P Ba 0 5 A Are Events A And B Independent Prove Your Answer Mathe 1 (64.37 KiB) Viewed 258 times

6. (2 points) Suppose P(A) = .1, P(B) = -5, and P( BA) = 0.5. A. Are events A and B independent? Prove your answer mathematically using the above information. (Note: Use the mathematical formulas in the class notes to prove your answer.) B. Based on your answer in part A, what is P(A and B)? (Show work below) Answer: 7. (4 points) 5 defective calculators were accidentally shipped to Walgreens along with 45 non- defective ones. HINT: Leave in fractions to solve the following. A. What are the marginal probabilities of the two events P(Defective) = P(Non-defective) = B. Assume that someone purchases a calculator and does not return it, are you sampling WITH or WITHOUT replacement? C. What is the probability that the first 3 calculators sold will be returned to the store because they are defective? Answer: (Show work below) D. What is the probability that the first 2 calculators sold will be defective while the next 2 will not be defective? Answer: (Show work below)