If A and B are independent events with P(A)=0.24 and P(B)=0.73 Calculate and find P(A∣B)
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Q: assume that Pr[A∪B]=0.6 and Pr[A]=0.2 (1) What is Pr[B] if A and B are independent events?
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If A and B are independent
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- For this problem, assume that Pr[A∪B]=0.85 and Pr[A]=0.5Pr[A]=0.5. What is Pr[B] if A and B are independent events?A poll of 220 students at a university reveals that 80 are taking a lab science course, and 55 are members of the Honors College, while 18 are taking a lab science and are members of the Honors College. Let L = the event that a student is taking a lab science, and H= the event that a student is a member of the Honors College. Complete parts (a) through (e) bel d. A student is randomly chosen. Find P(LH) and P((LH)) and explain what each number represents. P(LnH) (Simplify your answer.) = P((LnH)) = (Simplify your answer.) Explain what P(L n H) and P ((LH)) represent. Choose the correct answer below. O A. P(LnH) is the probability a student is taking a lab science and is a member of the Honors College. P ((LH)') is the probability a student is not taking a lab science or is not a member of the Honors College. O B. P(LnH) is the probability a student is taking a lab science or is a member of the Honors College. P ((LH)') is the probability a student is not taking a lab science or is not…Q2: For the project, its data shown below find: ● Time in weeks that gives a probability of %97.5 Probability of finishing the project 4 weeks more than TE Probability of finishing the project 3 weeks less than TE Act. 1-2 2-3 2-5 2-4 3-4 3-7 5-6 6-7 4-7 0 8 4 7 7 4 7 10 10 4 M 10 5 8 9 6 8 14 14 5 24 12 21 11 8 15 24 24 12
- Q2: Two numbers x and y are selected at random between zero and one. Let the events A, B, and C be defined as follows: A = (x > 0.6), B = (y > 0.2), and C = (x > 2y). Are the events A and B independent? Are A and C independent?In a random experiment if a coin is tossed three times or three coins are tossed one time, if random variable X is the number of appearances of Tails, the value of E(X), will be; Select one: O a. None O b. 3.5 O c. 2.5 O d. 1.5Solve Q21
- J and K are independent events. P(J|K) = 0.6. Find P(J).A student goes to the library. Let events B= the student checks out a book and D= the student check out a DVD. Suppose that P(B)=0.54 P(D)=0.45 and P(D|B)=0.50 Round each answer to four decimal places. (a) Find P(B′)Enter the exact answer.P(B′)= (b) Find P(D AND B)Enter the exact answer.P(D AND B)= (c) Find P(B|D).Round your answer to three decimal places.P(B|D)= (d) Find P(D AND B′)Enter the exact answer.P(D AND B′)= (e) Find P(D∣B)Enter the exact answer.P(D∣B′)Two events A and B are such that P(4)=0LP(B)=04 and P(AU B)=03 Find the value of P(AUB). 05 d) 0 8 Answer C. Subrrit 2538
- 0.10.20.40.5Suppose that A and B are independent events such thatP(A)3D0.10 and P (B) 0.60. Find P (A N B) and P (A U B). (If necessary, consult a list of formulas.) (a) P(4 n B) = 0 (b) P(4 U B) = ]A committe of size 3 to be selected at random from 4 chemists and 5 physicists , Find the probability that : E (x)=? а- 16/9 b- 15/9 с-3/4 d- 8/7 e- 4/3