7. If an experiment the events A and B can both occur then a. P(A U B) = P(A)P(B|A) b. P(AN B) = P(A)P(A|B) c. P(AN B) = P(A)P(B|A) d. P(A U B) = P(B)P(B|A) %3D %3D

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AN B) = 0.1. Calculate (a) P(A|B); (b)…

A: As per our guidelines we are suppose to answer three sub parts . Given,P(A)=0.5 , P(B)=0.3 ,…

Q: FILE ERS TALS URSES A 0.25 d. Are events A and C mutually exclusive? Yes, they are mutually…

A: solution of the given question is like this;as in the given question; from the part d) and e) we can…

Q: 1. Let A and B be events such that, P(A) = 0.6, P(B) = 0.7, P(A N B) = 0.4 Find %3D a. P(A U B) b.…

A: Given that, A and B are events, PA=0.6PB=0.7PA∩B=0.4

Q: Suppose that A and B are independent events such that P(A) =0.70 and P(B) = 0.20. %3D Find P(AN B)…

A:

Q: a. Let A and B be two events such that P(A) = 0.05 and P(A U B) = 0,49. Calculate P(B') if events A…

A: Continue with Simple probability theory...............

Q: Two events A and B are such that P(A) = 1/4, P(A / B)=1/3, P(B /A) = 1/2. Find P(A / B). Select one:…

A: Solution: From the given information,

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent? %3D %3D 1)…

A:

Q: (iii) Given that the events A and B are such that : 3 P(A) = P(AUB)= and P (B) = p. 2' Find the…

A:

Q: If E and F are independent events with P(E) = 0.33 and P(F) = 0.33, then what is P(EC U U F)?

A: If E and F are independent events, then P(Ec∩F) = P(Ec)*P(F), where P(Ec) =[1 - P(E)] P(Ec∪F) =…

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: Let A, B be two events such that p(An B) = 0.4, P(B n A) = 0.1 and p(An B) = 0.6. Find p(A) %3D %3D…

A: P(A∩B¯) = P(only A) = 0.4 P(B∩A¯) = P(only B) = 0.1 PA∩B¯ = 1 - P(A∩B) P(A∩B)  = 1 - 0.6 = 0.4

Q: ) Let A and B be two events such that P(A)=0.9, P(B)-0.5, and P (A U B) =0.6. Find: a) P(AnB) b)…

A:

Q: QUESTION 2 If A and B are two events and P(A) = 0.60, P(B) = 0.30 and P (A u B) = 0.80, find: a. P…

A: P(A)=0.60 , P(B)=0.30 and P(A U B)=0.80 . Therefore, P(A ∩ B)=P(A)+P(B)-P(A∪B)=0.6+0.3-0.8=0.10 .…

Q: a) Two events, A and B, are such that P(AuB) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

A: We calculate  probability of  given events

Q: Q2. Two events A and B are said to be dependent if and only if:

A: Here use basic of dependent events

Q: Assume A and B are independent events with P(A) = 0.1 and P(B) = 0.3. Find (a) P(A N B), (b) P(A U…

A:

Q: If P(A) 04, P(B') =05 and P(A and B) 0 01 Which statement is correct? I P(B)= 06 %3D 2 P(A/B) 0 02 3…

A: Note: Hey, since multiple questions are posted, we will answer first question for you. If you want…

Q: Given P(A and B) = 0.07, P(A) = 0.75, and P(B) = 0.63 are events A and B independent or dependent?…

A:

Q: For two events A and B, P(A) = 0.3 and P(B) = 0.4. %3D (a) If A and B are independent, then P(AU B)…

A: given that PA=0.3,PB=0.4a)If A and B are independentPA∪B=PA+PB-PA∩BPA∩B=PA·PBPAB=PAsoans:…

Q: Given P(A) and P(B) are independent events, P(A) = 0.4 , P(AUB)' = 0.3 , and P(B) = %3D %3D %3D 0.5.…

A: Given,P(A)=0.4P(A∪B)'=0.3P(B)=0.5

Q: ) P(A′) b) P(A union B) c) P(A′ intersection B)

A: Given : p(A)=3/5 ,p(B)=3/10, p(A n B)=1/4  then to find probability  p(A') ,p(A u B), p(A' n B) ??…

Q: Assume A and B are independent events with P(A) = 0.8 and P(B) = 0.9. Find (a) P(A N B), (b) P(A U…

A: If A and B are independent then P(A⋂B)=P(A)*P(B) Note: According to Bartleby, an expert can solve…

Q: Let A and B be events such that P (A) = 1/5 P (A & B) = 1/10 and P (A or B) = 1/2 Determine P (B)

A: P(A)=15P(A and B) = 110P(A or B) = 12

Q: Suppose A and B are independent events with P(A) = .6 and P(B) .8. Find (a) P(AU B), (b) P(AU B“),…

A: Given,P(A)=0.6P(B)=0.8and A, B are independent events

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 two events such that P(A) = 0.4 and P(An B) = 0.2 Then P(An B) is equal to O 0.8 O 0.6…

A:

Q: Let A and B be two events with P(A) = 0.13, P(B) = 0.04 and P(AUB) = 0.1323. %3D %3D Then, A and B…

A: If Two events are Disjoint their intersection will be zero. If two events is independent their…

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

A: From the provided information, P (A|B) = 0.5, P (A Ո B) = 0.15, P (A or B) = 0.65

Q: An urn contains p black balls, q white balls, and r red balls; and n balls are chosen without…

A: An urn contains p black balls, q white balls, and r red balls. balls are chosen without replacement.

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…

Q: Suppose A and B are events with P(A) = .6, P(B) = .2, and P(Bn A) = .4. Find (a) P(AU B), and (b)…

A: GivenP(A)=0.6P(B)=0.2P(Bc∩A)=0.4

Q: QUESTION 3 For two events A and B, P(A)=D0.5 and P (B)=0.2. Then P (A or B) equals: (4 points) 0.10…

A: