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 that A, B are two events such that P(A)  = 0.7, P (B) = 0.55 and P  (A / B) = 0.6 Find P (A…

A:

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: It is known that P(AB)=0.45, P(B)=0.90 and the events A and B are independent.                Find…

A: Independent events are events that do not affect the outcome of subsequent events.

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: 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: If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent

A: For independence of two events A and B, we must have  P(A and B) = P(A).P(B)

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: If the P(A) = 0.43, P( A or B) = 0.87, given that events A and B are mutually exclusive events then…

A: Given, P(A) = 0.43 P( A or B) = 0.87 Since events, A and B are mutually exclusive events P(A and B)…

Q: If A  and   B    are independent events with    P(A)=0.24    and    P(B)=0.73  Calculate and find…

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: 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: 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 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: and B are events such that P(A)= 2/7 and P (A&B)= 3/25. Determine P (B I A).

A: Given data,P(A)=27P(A & B)=325P(B|A)=?

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: Suppose that A and B are events such that P(A) = 2/7 and P(A&B) = 3/25. Determine P(B| A).

A:

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: Let A and B be two events such that P(A) = 1/6 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: P(A or B)= P(A)+P(B)-P(A and B) For A and B to be independent P(A and B)=P(A).P(B) Therefore, P(A or…

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 events such that P(A) = 1/4 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule state that:…

Q: Suppose that C and D are two events such that P(C)=1/2 and P(C & D)=3/10. What is P(D|C)​?

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: A and B are independent events such that P(A) = 0.3 and P(B) = 0.6. Find P(A&B).

A:

Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the largest possible value of…

A: In this question, we have the value of P(A) = 0.71 and P(B) = 0.44 and we have to find the maximum…

Q: Let A and B be two events such that P(A) = 1/5 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: Given: P(A)=15 P(A or B)=12 Let, P(B)=p The objective is to find the value of p, since A and B are…

Q: GIVEN P(E) =0.35 P(F) =0.08 AND P( E AND F) =0.402…

A:

Q: 2. A and B are events such that P(A) = 0.3, P(B) = 0.4, P(A/B) = 0.5. Calculate: (1) P(AB) and P(A +…

A: Answer :- Given A and B are two events.  where P(A) = 0.3,  P(B) = 0.4,    P(A|B) = 0.5…