If P(E) = 0.2, P(F) = 0.3, and E and F are independent events, find P(E and F). 1) 0.06 2) 0.08 3) 0.1 4) 0.12

Q: 2. 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: For not mutually exclusive events A and B, P(A) = 0.59, P(B)=0.46 and P(A B)=0.28. Find the P(AUB).

A: Given:        The A and B are not mutually exclusive P(A) = 0.59 P(B) = 0.46 P(A ∩ B) = 0.28

Q: If X and Y are independent events with P(X) = 0.1 and P(Y) = 0.4, then P(X n Y) is:…

A: X and Y are independent eventsP(X)=0.1P(Y)=0.4

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 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: If A, B are two events, where P(A)= 0.4, P(B)= 0.55, P(A U B) = 0.85, then P(AN B): %3D a. 0.1 O b.…

A:

Q: Assume A and B are independent events, P(A)= 0.1, P(B)=0.3. Then P (AUB): 0.43 O Option 3 0.4

A:

Q: Suppose that C and D are events such that P(C) = 4/5 and P(C&D) = 3/10. Find P(D| C).

A: The formula for conditional probability is,

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 independent events with P(A) = P(An B) = P(AUB) = 1 ·|6 1 and P(B) = Find P(An B) and…

A:

Q: If A and B are mutually exclusive events such that P(A) = 0.45 and P(B)=0.35. Then P(A and B)= %3D…

A: Given that P(A) = 0.45 P(B) = 0.45 And given that A and B are mutually exclusive events

Q: Let A and B are two events, not mutually exclusive. Suppose that P(A) =0.40, P(B)=0.32 and P(A or…

A:

Q: Given two independent events, X and Y, such that P(X) = 0.30 and P(X AND Y) = 0.12, what is the…

A: Given There are 2 independents events X and Y. PX=0.30P(X and Y)=0.12

Q: Suppose that A and B are two independent events for which P(A) = 0.17 and P(B) = 0.59 Find each of…

A: For the given data Find p(A/B ) =? P(B/A) =? P( A and B ) =? P (A or B ) =?

Q: Let A and B two events with P(A) =0.25 and P(B) =0.45 and P(A n B) = 0.1 then P(Ā N B) = 0.35. O…

A: The given probabilities are PA=0.25,PB=0.45,PA∩B=0.1. Now, PA¯∩B=PB-PA∩B=0.45-0.10=0.35=True Thus,…

Q: Given that P(A) = 0.47, P(B) = 0.07, and P(A and B) = 0.0329, are events A and B %3D %3D %3D…

A: Solution:- From given information p(A)=0.47p(B)=0.07p(A and B)=0.0329

Q: 2. Let E, F, and G be three events. Find the expressions for the events described below: (a) Only F…

A: Three eventsE F, and G then write the expression for the events  a): only F occur  b): both E and F…

Q: Let A, B, and C be independent events with P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 Find P(A and B and C).…

A: given A, B, and C be independent events  P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 P(A and B and C ) = ?

Q: E, F are independent events. P(E) = 0.2, P(F) = 0.3. Find P(E ∪ F).

A: From the provided information, P (E) = 0.2 P (F) = 0.3 The events are independent.

Q: Given P(A) = 0.4 and P(B) = 0.6, do the following. a) f A and B are independent events, compute P(A…

A: a)Recall that if two events are independent, then the probability of their intersection, P(AandB),…

Q: If A and B are independent events with P(A) = 0.1 and P(B) = 0.4, then P(A or B) is a. 0.46 O b. 0…

A: P(A) =0.1P(B) =0.4

Q: If A and B are mutually exclusive events with P(A) = 0.75, then P(B): a. can be any value…

A: Given P(A)=0.75

Q: If A and B are events such that P(A)=0.55, P(B)=0.35 and P(A U B)=0.7. Then P(A/B) O a. 0.2 O b.…

A: It is given that P(A)=0.55, P(B)=0.35, P(AUB)=0.7.

Q: Let E and F be two events in S with P(E) = 0.45, P(F) = 0.63, and P(E ∪ F) = 0.87. Find P(E ∩ F) and…

A: Formula:For 2 events A and B, P (A ⋃ B) = P (A) + P (B) – P (A ∩ B).

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

A:

Q: Question 3 For any two events A and B to be not independent, P(A NB) = P(A).P(B) True O False

A:

Q: Suppose A and B are two events. If P(A)=0.5, P(B)=0.4, and P(AUB)=D0.8. Then find the P(ANB)? O A.…

A: Given:

Q: If P(E) = 0.2, P(F) = 0.3, and E and F are independent events, find P(E and F). 1) 0.06 2) 0.08 3)…

A: P(E)=0.2P(F)=0.3and E,F are independent events.

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: Let A and B be any two events defined on S. suppose that p(A)=0.2, p(B)=0.7, and p(A and B)=0.3, the…

A: It is given that, p(A) =0.2 p(B) =0.7 and p(A and B) =0.3