Define A, P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(ANB) = 0.06, P(ANC) = 0.27, P(BOC) = 0.18, P(AnBnC) = 0.04 be three events and assume that: Yes No b) Are A, B, and C pairwise independent?

Q: Suppose that A, B are two independent events, with P(A) = 0.3 and P(B) = 0.4. Find P(A and B)

A:

Q: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).

A: The Special Multiplication Rule (for two independent event)

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: If ​P(A∪​B)=0.8​, ​P(A)=0.2​, and ​P(A∩​B)=0.15​, find​ P(B). Assume that A and B are events.

A: Given information- We have given that A and B are events. P(A∪​B)=0.8​, ​P(A)=0.2​, P(A∩​B)=0.15. We…

Q: Suppose that A and B are events such that P(A) = 0.84,P(B) = 0.46, and P(A&B) = 0.38. Determine…

A:

Q: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

A:

Q: Suppose that A and B are mutually exclusive events such that P(A) = 0.25 and P(B) = 0.40. Determine…

A: Special Addition Rule:

Q: Suppose that AA and BB are two events for which P(A)=0.32P(A)=0.32, P(B)=0.73P(B)=0.73, and…

A: Given that : P(A)=0.32 P(B)=0.73     and    P(B|A)=0.37 By using the properties of basic and…

Q: Suppose that A,B, and C are independent events such that P(A) = 0.8,P(B) = 0.5, and P(C) = 0.3. Find…

A: The Special Multiplication Rule

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: Suppose P(A) = 0.28 and P(B) = 0.48 and A and B are independent. Events A and B are not disjoint.…

A: Answer is mentioned below

Q: If B CA and A and B are two events such that P (A) = 3 P (B) and A UB = S find P (B) ?

A: Answer: For the given data,

Q: Suppose that A and B are two events. P(A) =0.32, p(B) = 0.41 and P(A and B )= 0.22 Calculate…

A: Answer: From the given data, Suppose that A and B are two events, P(A) = 0.32 P(B) = 0.41 P(A and B)…

Q: Let A and B be independent events with P(A) = 0.2 and P(B) = 0.3. Find: (a) P(ANB) and P(AUB) (b)…

A: A and B be independent eventsP(A)=0.2P(B)=0.3

Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

A:

Q: Suppose that C and D are independent events such that P(C) = 0.7 and P(D) = 0.6. Find (C&D).

A: Two events C and D are said to be independent if,

Q: Let A and B be events with P(4) =0.3, P(B) =0.73, and P(B 4) = 0.9. Find P(A and B). P(4 and B) =

A: Given data:

Q: Define A, B, and C to be three events and assume that: P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(ANB)…

A: Given that P(A)=0.30, P(B)=0.20, P(C)=0.90

Q: Suppose that E and F are two events and that P(E and F)=0.48, P(F)=0.55, and P(E)=0.5. What is P(F…

A: Suppose that E and F are two events and that P(E and F)= 0.48 P(F)=0.55 and P(E)=0.5 What is P(F |E)…

Q: If ​P(A∪​B)=0.6​, ​P(A)=0.4​, and ​P(A∩​B)=0.25​, find​ P(B). Assume that A and B are events.…

A: GivenA and B are eventsP(A∪B)=0.6P(A)=0.4P(A∩B)=0.25

Q: he P(A)=0.34P(A)=0.34 and the P(B)=0.42P(B)=0.42. Events AA and BB are mutually exclusive. What is…

A:

Q: Let A and B be events with P(A) = 0.5, P(B) = 0.4. Assume that A and B are independent. Find P(A and…

A: Here the events are indepenedent P(A) = 0.5 P(B) = 0.4

Q: You decide to flip a coin each day to decide which route to take to school: highway or back roads.…

A:

Q: Suppose that A and B are two events for which P(A)=0.31, P(B)=0.68, and P(AandB)=0.31 Find P(A|B)

A: According to the given information, we have There are two events A and B i.e. P(A) = 0.31 P(B) =…

Q: Suppose that P(A)=0.25 and P(B)= 0.4. If events A and B are mutually exclusive, find: a. P(ANB) b.…

A: Two events are said to be mutually exclusive or disjoint if both events cannot occur at the same…

Q: Suppose hat A and B are P(A) = 0.24, P(B) = 0.83, and P(A and B) = 0.33 Find P(A|B). P(A|B) = for wr

A: