H. Suppose that P ( A̅ ∩ B) = 0.3, P ( A̅ ∩ B̅) = 0.15, and P(A|B) = 0.5. Find P(A), P(A ∩B ). _____________________ If A and B are two events associated with an experiment and P(A) = 0.4, P(A ∪ B) = 0.7, and P(B) = p, find: 1. The choice of p for which A and B are mutually exclusive 2. The choice of p for which A and B are independent.

Q: A and B are events with P(A)=0.3, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Given that ; If A and B are events with P(A)=0.3, P(A OR B)=0.89, P(A AND B)=0.01, find P(B) By…

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: are events A and B independent?

A: For the events to be independent, we must have P(A and B) = P(A).P(B)

Q: Q. 3 If A and B are two events associated with an experiment and P(A) = P(AUB) = and P(AN B) = Find…

A:

Q: Given that P(A) = 0.42, P(B) = 0.04, and P(A and B) = 0.0168, are events A and B independent?

A: It is given that P(A)=0.42, P(B)=0.04, and P(A and B)=0.0168.

Q: Let A and B be two events on the same sample space. The probability that the event A occurs equals…

A:

Q: For two events A and B, P(A) = .4, P(B) = .2, P(A|B) = .6. a. Find P(AN B). b. Find P(B|A).

A: Given data,P(A)=0.4P(B)=0.2P(A|B)=0.6

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

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: If A, and B are two independent events such that P(A) = 0.6 and P(B) = 0.5. Then P(AUB) is equal to…

A: Given  P(A)=0.60, P(B)=0.50 and P(AUB)=?

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: 1.1 Let A and B be two events of the same sample space. If P(A) – 0.2, P(B) – 0.3 and P(AN B) – 0.1,…

A: As per our guidelines we are supposed to answer only one question per post so I am solving first…

Q: Which of the following events are equal? а. А%3D (1,3}; b. B = {x|x is a number on a die}; c. C=…

A: Given that  Which of the following events are equal?   a. A = {1, 3}; = {1,3}   b. B = {x| x is a…

Q: 4) Let P(A) = A%, P(A U B) = 0.7. Find P(B) if a. the events A and B are mutually exclusive. b. the…

A: Given, P(A) = 20% = 0.2 P(A ∪ B) = 0.7 P(B) = ?

Q: A and B are two events such that P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.  Find P(A|B). Select…

A: P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.

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: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

A:

Q: In any year, the weather can inflict storm damage to a home. From year to year, the damage is…

A: Given that, Y denotes the dollar value of damage in any given year.  In 40% of the years Y is $0, In…

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 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: 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: 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: Given that P(A) = 0.10, P(B) = 0.17, and P(A and B) = 0.0230, are events A and B independent?

A: P(A)=0.10P(B)=0.17P(A and B)=0.0230

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

A:

Q: Q. 2 If A and B are two events associated with an experiment and P(A) = p. Find the choice of p for…

A:

Q: If A and B are two events of a sample space then p(A)=0.2 and p(B)=0.6 a d p(A/B)=0.5 then P(A/B)=

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: Q. 2 If A and B are two events associated with an experiment and P(A) = 0.4, P(AU B) = 0.7, and P(B)…

A: From the provided information, P (A) = 0.4 P (A Ս B) = 0.7 P (B) = p

Q: When A and B are any two events such that P(A) = 0.55, P(B) = 0.41 and P(AUB) = 0.4 then P(AN B) =…

A: We have to find given probability.

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: 3 b. X and Y are two events, P(Y)==, P(X|Y)=, and PYoX 10 %3D %3D Find P(XnY) and P(X).

A: Given P(Y) = 35, P(X/Y) = 23     and   PY ∩ X = 310

Q: If A and B are two events such that P (A or B) =2/3 , P(ABC)=1/3 and P(A/B)= 1/6. Find P(A). Select…

A: For two events A and B,

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: Two events A and B are such that P(A / B) = 0.5, P(AN B)= 0.15,P(A or B ) = 0.65. Find P(AN B).…

A: