When two dice are thrown determine the probabilities from axiom 3 for the following three events. (i) A = { Sum = 7} (üi) C= {10 < Sum} and determine (ii) B = {8 < Sum < 11} (iv) P (Bn C) %3D %3D
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- Suppose the probability of snow tomorrow is 0.3 while the probability of IU winning the basketball game tomorrow is 0.6. Assuming these events are independent, what is the probability that it snows and IU loses? (A) 0.6 (В) 0.3 (C) 0.18 (D) 0.42 (E) 1 (F) 0.28 (G) 0.12 (H) 0 A ESuppose the probability of snow tomorrow is 0.4 while the probability of IU winning the basketball game tomorrow is 0.9. Assuming these events are independent, what is the probability that it snows and IU loses? (A) 1 (B) 0.04 (C) 0.06 (D) 0.4 (E) 0 (F) 0.54 (G) 0.36 (Н) 0.9 O B В C. O D O E OF OGplease you must answer part (d) (e) (f) thank
- Look at the 4 probability rules beow , an provide a REAL LIFE example for each. Also, with a Real LIfe EXAMPLE, explain how Disjoint events CAN be dependent. Rule 1. The probability P(A) of any event A satisfies 0 ≤ P(A) ≤ 1. Rule 2. If S is the sample space in a probability model, then P(S) = 1. Rule 3. Two events A and B are disjoint if they have no outcomes in common and so can never occur together. If A and B are disjoint, P(A or B) = P(A) + P(B) This is the addition rule for disjoint events. Rule 4. For any event A, P(A does not occur) = 1 − P(A)For each set of probabilities, determine whether the events A and B are independent or dependent. (If necessary, consult a list of formulas.) Probabilities Independent Dependent = P(A 18) - 1 (a) P(A)=-;P(B) =;P(A\B) = 5 1 1 P(A) =;P (B) = P(A and B) = %3D 4 6. 1 1 P (B|A) = 1 (c) P(4)-극: P(B)-P(Bl4): %3D %3D 1 1 (d) P(A) = : P(B) = P(4 |B) = | %3DO Whats inside of blo. S Watch Cra zy Rich A Car inspection: Of all the registered automobiles in a city, 6% fail the emissions test. Nine automobiles are selected at random to undergo an emissions test. Round the answers to at least four decimal places. Part 1 of 4 (a) Find the probability that exactly four of them fail the test. The probability that exactly four of them fail the test is Part 2 of 4 (b) Find the probability that fewer than four of them fail the test. The probability that fewer than four of them fail the test is Part 3 of 4 (c) Find the probability that more than three of them fail the test., The probability that more than three of them fail the test is