4. Let A and B be two events such that P(AB)=0.4 , P(AUB)=0.45 and P(B)= 0.75 , where B is the complementary event of B. (a) Find P(AC B) and P(A). (b) Are events A and B independent? Justify your answer.

Q: Suppose A and B are two events, P(A)=0.38, P(B)=0.42 and P(A and B )=0.26 Find the P(B|A) Round…

A: Answer: From the given data, P(A) = 0.38 P(B) = 0.42 P(A and B) = 0.26

Q: A and B are two events. P(A) = 0.27, P(B) = 0.32, P(A and B) = 0.14. Calculate P(B | A')?…

A: Answer: From the given data, P(A) = 0.27 P(B) = 0.32 P(A and B) = 0.14

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) = 0.5 and P(AnB) = 0.4. For what value of P(B) will A and B be…

A:

Q: Let A and B be two disjoint events such that P(A) = 0.27 and P(B) = 0.51. 4 What is P(A or B)?

A: GivenLet A and B be two disjoint eventsP(A)=0.27P(B)=0.51

Q: P(A) =0.3 and P(A or B) =0.7, then what is P(B)  if events A and B are independent events?

A:

Q: 10. P(A) = 0.5 and P(A + B) = 0.7, find P(B) if – %3D (i) A and B are independent events; (đi) A and…

A:

Q: If P(ENF) = 0.081, P(E|F) = 0.18, and P(FE) = 0.2, then (a) P(E)= (b) P(F)= (c) P(EUF)= (d) Are the…

A: P(E∩F)=0.081 P(E|F)=0.18 P(F|E)=0.2

Q: Let A and B be two independent events with P(A)= 0.4 and ?(?⋃?)=0.64. What is P(B)?

A: given: P (A) =0.4 P (AUB) =0.64

Q: Suppose A and B are two disjoint events. Further, P(A) = 0.49, and P(B) = 0.51. The P(A|B) = 0.51 0…

A: The objective of the question is to find the conditional probability of event A given that event B…

Q: Given P(A and B) = 0.42, P(A) = 0.92, and P(B) = 0.05 are events A and B independent or dependent?

A:

Q: Given that P(A) =, P(A U B) =. P(A uc) = and P(B UC) =. 10 P(B). P(C). Find, (a) (b) (c) P(A/C).…

A: Note: As per the instructions we are allowed to solve first three subparts. Kindly repost the other…

Q: 2. If P(A) = 1/2 ,P(B) = 3/4 and P(ANB) = 3/8 ,check whether A and B are independent. %3! %3D

A: Note: Please repost remaining questions as i can author only 1 question as per my policy.   2) Given…

Q: A and B are two events. If P(A) =0.27, P(B) =0.30, P(A|B) =0.50 Find the P(A and B') ?

A: Answer: From the given data, P(A) = 0.27 P(B) = 0.30 P(A | B) = 0.50

Q: 9. Given P(A and B) = 0.56, P(A) = 0.72, and P(B) = 0.81 are events A and B independent or…

A: Introduction: Two events, A and B are said to be independent, if P (A and B) = P (A) ∙ P (B).

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: If A and B are independent events with P(A) = 0.30 and P(A and B) = 0.15, then Find P(B).

A: Here For 2 independent events A and B  P(A)= 0.3 P(A and B) =0.15

Q: Two events, A and B, are such that P(A) = 0.08, P(B) = 0.07 and P(B|A) = 0.25. (i) Find P(B), P(A n…

A:

Q: Given that P(A) = 0.09 P(B) = 0.20 and P(A and d B)=0.018 , are events A and independent ?

A: Given: P(A) = 0.09 P(B) = 0.20 P(A and B)=0.018 The objective is to find if events A and B are…

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: If A and B are independent events with P(A) = 0.25 and P(B) = 0.60,then P(A|B) is?

A: Given: A and B are independent events. P(A)=0.25P(B)=0.6 The objective is to find P(AB).

Q: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)

A: Given: P(A) = 0.50 P(B) = 0.30

Q: If P(A) = 3/4 and P(A and B) = 1/2, where A and B are dependent events, then P(B|A) equals?

A: Solution: From the given information, P(A) = ¾ and P(A and B)=1/2.

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: If A and B are independent events P(A)= 0.25 and P(AuB) = 0.67 then Find P(B)

A: From the given data, A and B are independent events, P(A)=0.25 P(A∪B)=0.67

Q: Let A and B be two independent events such that P(A) = 0.11 and P(B) = 0.69. What is P(A or B)? Your…

A: given data, A and B be two independent events p(A)=0.11p(B)=0.69p(A or B)=?

Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?

A:

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: Let E and F be two events and suppose P(E) = 0.48, P(F) = 0.55, and P(E F) = 0.74. Find P(E | F).

A: According to the provided information,  P(E) = 0.48, P(F) = 0.55, and P(E⋂F) = 0.74