Let A and B be events with P (A)=0.4, P (B)=0.6, and P (A or B)=0.7. (a) Compute P (A and B). (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain.

Q: Which pairs of events are independent?     (a) P(A) = 0.67, P(B) = 0.58, P(A∩B) = 0.35.         A…

A:

Q: In probability, when two events A and B are such that P(B)= 1.5 P(A) and P(ANB) = 0.6 P(A), then…

A: We have to find given probability.

Q: A and B are two events. If P(A) =0.18, P(B) =0.33, P(A|B) =0.59 Find the P(A and B)

A: P(A) = 0.18 P(B) = 0.33 P(A|B) = 0.59 P(A and B) = ?

Q: For two events A and B, P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22. Are A and B independent?

A: Given that  P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22

Q: Let A and B be events with P(A) =0.7, P(B) = 0.44, and P(B|4) = 0.8. Find P(A and B). P(4 and B) =

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Q: Let A and B be events with P(A) = 0.4, P (B) = 0.1, and P(A or B) = 0.5. (a) Compute P(A and B). (b)…

A: Given,P(A)=0.4P(B)=0.1P(A or B)=0.5

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

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Q: Supposed P(F) = .25, P(F or G) = .70, and events F and G are mutually exclusive.  Find: a) P(G)…

A: (a)If events F and G are mutually exclusive, then, P (F or G) = P(F)+ P(G).Or, P(G) = P (F or G) –…

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: 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: Given that  P ( A ) = 0.7 , P ( B ) = 0.3 , P ( A or B ) = 0.9

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,

Q: (A) (B) (C) Brand A Brand B Brand C (P) 5. Cup (E) 6 6 8. Cone Select all that apply. Which two…

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Q: A and B are independent events P(A) = 0.25 and P(A and B) = 0.14 then, find P(B) ?

A: Answer: Given that, A and B are independent events P(A) = 0.25 P(A and B) = 0.14

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

A:

Q: = 2 Part: 0 / 3 Part 1 of 3 = 3 (a) Compute P(A and B). B) - 0 P(4 and B) = 4 Let A and B be events…

A: The objective of this question is to determine the probability of events A and B occurring together,…

Q: Let A and B be events with P(A)=0.4 and P(B)= 0.6 and P (A and B) =0.2 . (a) Are A and B…

A: Two events A and B are independent if the probability of both events occurring is the product of the…

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

A:

Q: 4. P(A|B) 5. Use P(A|B) = P(A) and P(A and B) - P(A)*P(B) to determine if the two events are…

A: Given:

Q: Let A and B be two disjoint events such that P(A) = 0.09 and P(B) = 0.56. What is P(A or B)?

A: A and B are disjoint events.  P(A) =- 0.09 P(B) = 0.56 P( A or B) = ?

Q: Let A and B be events with P(A) = 0,700 and PLAN B)=0.300. For what value of P(B) will A and B be…

A: P(A)=0.700P(AB)=0.300

Q: A AC Total B 0.443 0.005 0.528 BC 0.224 0.24 0.427 Total 0.667 0.333 1

A: From the cross-tabulation table, we have P( A ) = 0.667 P( B ) = 0.528 P( Ac and B ) = P( B ) - P( A…

Q: you are givin the information that P(A) = 30 and P(B) = 0.40. Do you have enough information to…

A:

Q: Given P(A)=0.31, P(B)=0.49 and P(A or B)=0.78, are events A and B mutually exclusive

A: According to the given information, we have P(A) = 0.31 P(B) = 0.49 P(A or B) = 0.78

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: 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: U and V are mutually exclusive events. P(U) = 0.28; P(V) = 0.59. Find: a. P(U and V) = b.…

A: Solution: Given Information; Let U and V are mutually exclusive events. P(U)= 0.28 P(V)=0.59

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.8, find P(A AND B).

A: It is given that , A and B are the two independent events & their probabilities is P(A) = 0.9…

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.5. Find:  a.  P(U and V) =  b.…

A: Therefore,

Q: U and V are mutually exclusive events. P(U) = 0.3; P(V) = 0.49. Find: a. P(U and V) = b. P(UIV) = c.…

A:

Q: U and V are mutually exclusive events. P(U) = 0.16; P(V) = 0.59. Find: a. P(U and V) = b. P(U|V) =…

A: Two events U and V are given.

Q: Anthony surveys a group of students at his school about whether they play a sport. This table shows…

A: It is a problem of conditional probability where we have to find whether two events are independent…

Q: The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.6, what is P(A or B)? O A. 0.9…

A: Given Data: P(A)=0.3 P(B)=0.6   A and B are mutually exclusive events

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…

Q: Let A and B be events with P(A) =0.4, P(B) =0.7, and P(B|A) =0.5. Find P (A and B).

A: The question is about prob. of events Introduction : If A and B are two events then the condition…

Q: In example,  A and B are two independent events with P (A) = 0.50 and P (B) = 0.20. Count it for  P…

A: P(A) and P(B) = P(A x B) Thus P(A×B)=0.50×0.20=0.1

Q: Let A and B be events with P(A)=0.4, P(B)=0.3, and P(A and B)=0.02. (a) Are A and B independent?…

A: Answer Given P[A] =0.4P[B] =0.3P [A and B] =0.02

Q: Let A and B be events with P(A)=0.5, P(B)=0.55, and P(B|A)=0.9. Find P(A and B).

A: