A and B are independent events. If Pr(A n B) = 0.16 and Pr[A] = 0.2 what is Pr[B]?
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Q: A and B are independent events. If Pr(A∩B)=0.18 and Pr[A]=0.3 what is Pr[B]?
A: Independent events : The event A and event B are independent if , P( A∩B ) = P( A )×P( B )
Q: Which statement below proves A and B are independent events? P(A)=0.23, P(B)=0.62, P(A and…
A: If A and B are independent events then P(A and B) =P(A) ×P(B)
Q: a. Let A and B be two events such that P(A) = 0.05 and P(A U B) = 0,49. Calculate P(B') if events A…
A: Continue with Simple probability theory...............
Q: 4. The probabilities for event A and B are P(A) = 0.4 and P(B) = 0.33. Find P(A U B) if a) A and B…
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Q: A and B are independent events. If Pr[A]=0.5 and Pr[B]=0.7, what is Pr[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?
A: Since A and B are independent event, so pr(A∩B)= pr(A)pr(B).
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Q: - For any two events A and B; P ( ACO B) =P (B)-P (AOB)
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Q: If events A and B are independent and P(A)= 0.32, P(B)= 0.28 Calculate P(A and B)? Round to…
A: Answer: From the given data, P(A) = 0.32 and P(B) = 0.28 If events A and B are independent events
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Q: Suppose that A and B are events for which Р(A| B) — 0.8, Р(В A) — 0.15, and Р(A) — 0.2. P(B) =
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Q: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…
A: P(A or B) =0.55 and P(A) =0.25. Events A and B are independent.
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Q: Question 3 For any two events A and B to be not independent, P(A NB) = P(A).P(B) True O False
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Q: A and B are independent events. If Pr(A∩B)=0.4 and Pr[A]=0.5 what is Pr[B]Pr[B]?
A: It is given that, P(A)=0.5, P(A and B)=0.4.
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Q: Events A and B are such that P(A)=0.70, P(B)=0.40, and P(AUB)=0.90. Find P(B| A).
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Q: A class contains 30 students. The probability of failing in one of the courses for each student is…
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Q: Which of the following equalities does not imply that the events A and B are independent??
A: Here use property of independent event
Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.7, what is Pr[A∩B′]?
A: From the provided information,
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Q: For any two events A and B, show that P(ĀOB)=P(B) –- P(A B).
A: Answer: From the given data, A and B are any two events
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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…For this problem, assume that Pr[A∪B]=0.85and Pr[A]=0.3. (1) What is Pr[B]Pr[B] if A and B are independent events? (2) What is Pr[B]Pr[B] if A and B are disjoint events?
- Plz answer the question in 10 minutes plzzz and get thumb up plzzzzT1.8 Let A and B be two events with probabilities P(A)=.35, P(B)=.40 and P(A U B)=.6. a) Find P(A intersection B) b) Find P(A | B) c) Are events A and B independent or not?VSC Type here to search F1 W TE R Boys Not boys Juniors 65 35 Not juniors 220 145 Total 285 180 465 1. What is the probability that a student selected at random is a boy? PB + )= 285/465 2. What is the probability that a boy selected at random is a Junior? P(| J|B)= 65/285 3. What is the probability of randomly choosing a student who is a Junior and a boy? P(JB) WOMENGEN 65/465 4. What is the probability of randomly choosing a student who is a girl given that she is not junior? P(| G|J = 145/365 5. What is the probability of randomly selecting a girl? P(G) = 180/965 31 ( 99+ F5 1. I T Y F2 F3 1² 1 Total % 100 365 My Apps Dashboar... 220 F6 F7 F8 1'. 1'. 65 F9 35 Cip F10 ETE 145 F11 F12 4- Backspace
- 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?Assume that we have two events A and B, that are mutually exclusive. Assume further that P(A) = 0.32 and P(B) = 0.14. Find P(AU B). Select one: O a. 0.4152 O b. 0.46 O c. 0.0448 O d. 0may i know the answer?