Let A and B be events with P (A)=0.7, P (B)=0.3, and P(A or B)=0.9. (a) Compute P(A and B). (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain. Part: 0 / 3 Part 1 of 3 (a) Compute P(A and B). P(A and B): = X

Q: If events A and B are independent, P(B)-05 and P(A-B)-03, then P(B-A)-

A: The following information has been provided: PB=0.5 PA-B=0.3 We have given that A and B are…

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A: Hello. Since your question has multiple parts, we will solve first 3sub parts question for you. If…

Q: Q5A A box contains 68 red balls, 80 white balls, and 55 blue balls. (a) If one ball is drawn from…

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Q: Find the probability of the indicated events if P(E)=0.3 , P(F)=0.4 , and P(F|E)=0.3   (a) P(E∩F)…

A: GivenP(E)=0.3P(F)=0.4P(F|E)=0.3

Q: a) Two events, A and B, are such that P(A U B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

A: P(A∪B)=0.86P(B) = 0.72P(A) = 0.64

Q: Q5A A box contains 68 red balls, 80 white balls, and 55 blue balls. (a) If one ball is drawn from…

A: The objective of the question is to find the probability of certain events when balls are drawn from…

Q: A= 20 Let P(A) = A%, P(A U B) 0.7. Find P(B) if %|

A:

Q: Prior Probabilities for A1 and A2: P(A1)=0.20, P(A2)=0.40, (A1) and (A2) are mutually exlcusive.…

A: Data given P(A1)=0.20, P(A2)=0.40, (B|A1)=0.20, P(B|A2)=0.05

Q: Sarah has two tests at school next week, a math test and a physics test. Let A represent the event…

A: According to the provided information, P(A)=0.30 and P(A AND B)=0.21,

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A: Given datan=16x¯=18.16s=1.48andHo;μ=19Ha:μ≠19

Q: - For any two events A and B; P ( ACO B) =P (B)-P (AOB)

A:

Q: Classify the events as dependent or independent. Events A and B where ​P(A)=0.1​, ​P(B)=0.2​, and​…

A:

Q: A and B are events such that P(A) = 0.4,P(B) = 0.5, and P(A&B) = 0.2. Answer each question and…

A: a.Mutually Exclusive Events:Two events are said to be mutually exclusive if they cannot occur at the…

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A:

Q: B).  Find P(A ∪ B).  Find P(A | B)

A: It is given that P(A) = 0.2 and P(B) = 0.4. a. The value of P(A ∩ B) is, PA∩B=PA·PB=0.2×0.4=0.08. b.…

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Q: 3- Events C and D are mutually exclusive and P[C] = 3P[D]. P[D] is 4- ANĀ

A:

Q: Determine whether the alternate hypothesis is left-tailed, right-tailed, or two-tailed. Ho:=35 H:p…

A: We have given that,  H0 : μ = 35  versus H1 : μ ≠ 35 We have to check the alternative hypothesis is…

Q: (iii)It P(AB) = 0, then the two events A and B are said to be (a) dependent (b) independent (c)…

A: ⇒ P(A∩B) can be written as P(AB).

Q: uppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: We have, N= 7+5 =12 n1= 7 = the number of green cards n2= 5 = the number of yellow cards The two…

Q: Determine if events A and B are independent. P(A) = 0.45 P(B) = 0.5 P(A|B) = 0.36 P(A) = 0.55 P(B) =…

A:

Q: C and D are events with P(C) = 0.4 and P(D) = 0.5 and P(C|D) = 0.6.For each part, show how you…

A: From the provided information, P (C) = 0.4 and P (D) = 0.5 And P (C|D) = 0.6

Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.44 and event B…

A:

Q: The Addition Rule for the probability that events A or B or C will occur, P(A or B or C), is given…

A: Given that P(A)=0.35, P(B) = 0.22, P(C)=0.18 P(A and B) 0.11, P(A and C)=0.03, P(B and C)=0.08 , P(A…

Q: Let event G = taking a math class. Let event H = taking a science class. Then, G ∩ H = taking a math…

A: Given that P(G) = 0.34, P(H) = 0.32, and P(G ∪ H) = 0.53 What is P(G|H) ?

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Q: Q5A A box contains 68 red balls, 80 white balls, and 55 blue balls. (a) If one ball is drawn from…

A: The objective of the question is to find the probability of certain events when balls are drawn from…

Q: Classify the events as dependent or independent. Events A and B where P(A)= 0.6, P(B)=D0.7, and P(A…

A: P(A) = 0.6, P(B) = 0.7, P(A and B) = 0.41   for event to be independent, P(A and B) = P(A).P(B) for…

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Q: (i) If the outcome of one event does not influence another event, then the two events are (a)…

A: Note: According to bartleby experts question answers guidelines an expert can solve only first…

Q: If event A and event B are mutually exclusive, and P(A) = 0.5 and P(B) = 0.3, find P(A and B).

A: From given data we have : P(A)=0.5 P(B)=0.3

Q: . P(A|C) c. P(AU B) d. P(ANC) e. P(AU C)

A: It is an important part of statistics. It is widely used.