The A event is defined on a sample space S. Which of the following is NOT true? O a. A'nA=0 O b. (A)'=A OC. AUA'=S O d. A'=A Give your reasons
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A: Answers are : (a) 0.1389 (b) 0.2222 (c) 1-0.2222 = 0.7778 (d) 0.02778
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A: Given : P(A) = 0.65 P(B) = 0.45 P(A∩B) = 0.25
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Q: 2. Draw a Venn diagram for each event described in Problem 1 above.
A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…
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- Use a Venn diagram to find the indicated probability. Suppose P(R) = 0.67, P(S) = 0.43, and P(R n S) = 0.33. Find P (R' U S) . O A. 0.76 О В. 0.66 OC. 0.67 D. 0.1 Next question Shade the Venn diagram to represent the set. BU (ANC') O A. В. O D. B Use a Venn Diagram and the given information to determine the number of elements in the indicated region. n(A) = 26, n(B) = 23, n(A N B) = 1, n(A' N B') = 12. Find n(U) %3D О А. 49 О в. 60 О С. 48 O D. 64Suppose you have a fair four sided dice showing {1,2,3,4}. You roll the dice and then continues to roll the dice until it shows a number that is less or the same as the first roll. Let X be the value of the dice on the first roll and let N be the number of rolls that is made after the first roll. a. Determine if X and N is independent. b. Determine the probability P(N>1) c. Determine the joint mass function p(x,n)=P(X=x, N=n) of vector (X, N)Please i need help with question 21 and 22
- Consider the circles shown to the right. Assume one circle is 2 3 4 5 selected at random and each circle is equally likely to be selected. Determine the probability of selecting a number less than 2, given that the number is less than 4. ..... The probability of selecting a number less than 2, given that the number is less than 4, is. (Type an integer or a simplified fraction.) Course Tools O Tyne here toYou spin a spinner with 10 equal sections than are numbered 1 through 10 event A is spinning an odd number event B is spinning a number greater than 54. 5 詳 What is the probability that in a race between 10 friends, Billy is first and Michael is last? I. A class nas 14 girls and 12 ooys and a commitee p5scrosen het is the erobabitynactnis.comm ttee contains at
- F 20O A. 0 OB. 0.5 O C. 1 OD. A z-table is needed. 7. Define the following events: X = event that an athlete takes vitamin X Y = event that an athlete takes vitamin Y Z = even that an athlete takes vitamin Z Which of the following is equivalent to the event that an athlete chosen random does not take any of the 3 vitamins? 0000 A. AUBUC B. (AUBUC) OC. AUBUC OD. None of the above 8. If A is any event in Q, what is P(A U Q)? *ww.awo.dte.comV Ccessones. PB Pebble Watch Apps. Dowica music, m. E Monsters - Traverse Ger the M Gal a Woulube Maps O Mfler Watch m myflar to Spectrum TV O PROBABLITY Pablo V Area as probability Enpatol A point is chosen at random in the square shown below. Find the probablity that the point is in the shaded circular region. Each side of the square is 6 in, and the radius of the circle is 3 in. Do not round any Intermediate steps. Round your answer to the nearest hundredth. If necessary, refer to the list of geometry formulas. 3 im 6 in
- Suppose D and C are independent events in the same sample space. If we know that Pr [D] = ½ and Pr[C] = ½, Pr[DUC] determine Pr DUC A. 8 35 26 B. 35 9 C. 35 6 D. E. 27 351. If we randomly pull a number from U, what is the probability that it is not an element of A or not an element of B?P=a.) What is the z score that corresponds to a Richter scale magnitude of 2.012? (round to two decimal places) Z = b.) What Richter scale magnitude (to three decimal places) would correspond to a z-score of 1.3? Richter scale magnitude c.) What is the probability of an earthquake having a Richter scale magnitude less than 2.012? (round to four decimal places) probability = d.) What is the Richter scale magnitude that is associated to the top 5.4% of earthquakes. (round to three decimal places) on the Richter scale
