Q3: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(A \ B) = 0.1. Calculate: Note: you can use Venn diagrams to understand some of the events that arise above (a) P(A/B); (b) P(BA): (e) P(A|AUB); (d) P(AAN B):

Q: (P(A) = 0.80, P(B ) = 0.70, P(A&B)= 0.56 Which pair of events are independent?

A: The given probabilities are PA=0.80,PB=0.70,PA&B=0.56.

Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.85, and P(B|A) = 0.6. Find the value of P(A or…

A: given data  P(A) = 0.3 P(B) = 0.85 P(B|A) = 0.6 P(A or B) = ?

Q: If P(En F). 0.08, ΡΕF) 0.32, and PFE) : 0.8, then %3D (a) P(E) = (b) Р(F) — (c) P(EU F) =

A: We have given that  P(E and F) = 0.08, P(E/F) = 0.32 and P(F/E) = 0.8

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: Which statement below proves A and B are independent events? P(A)=0.23, P(B)=0.62, P(A and…

A: If A and B are independent events then  P(A and B) =P(A) ×P(B)

Q: Suppose that A and B are independent events with: P(A)= 0.4 P(B)= 0.7 Calculate: P( A U B)

A: The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: We are given that  P(A | B) = 0.2  and  P(A) = 0.9.  Since  P(A | B) ≠ P(A),  the occurrence of…

A: Since  P(A | B) ≠ P(A),  the occurrence of event B changes the probability that event A will occur.…

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: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

A:

Q: The P(A)=0.48P(A)=0.48 and the P(B)=0.06P(B)=0.06. Events AA and BB are mutually exclusive. What is…

A: Given, P(A)=0.48 P(B)=0.06 P(A or B)=?

Q: Suppose that E and F are two events and that P(E) = 0.5 and P(F|E) = 0.2. What is P(E and F)? P(E…

A: GivenP(E)=0.5P(F|E)=0.2

Q: Suppose that E and F are two events and that P(E) = 0.2 and P(FIE)= 0.8. What is P(E and F)? P(E and…

A:

Q: For two events A and B, P (A)=0.4, P(B)=0.2, and P(A)(B)=0.6  Find P (AnB).  ThE N IS SUPPOSED TO BE…

A: Given :  A and B are the two events where ,  P (A)=0.4, P(B)=0.2, and P(A∪B)=0.6  If A and B are two…

Q: Suppose that E and F are two events and that P(E) = 0.3 and P(F|E) = 0.6. What is P(E and F)? P(E…

A: We have to find p( E and F)

Q: Use the diagram to answer the questions. (Example: AB is the event that A happens and then B…

A: Given the diagram to answer the following questions: (a) P(AB) (b) P(DF) (c) P(G|D) (d) P(C|A) (e)…

Q: For two events, A and B, P(A) = 0.5, P(B) = 0.5, and P(A/B) = 0.4. a. Find P(ANB). b. Find P(BIA).…

A:

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=.76, Find: 1. P(A N B) 2. Р (A| B)…

A: Given , Consider, If A and B are independent events, Then , P(A) . P(B)  = P  ( A ∩  B ) Also , P (…

Q: if 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

A:

Q: The P ( A ) = 0.5 and the P ( B ) = 0.24 . Events A and B are mutually exclusive. What is the P ( A…

A:

Q: you are givin the information that P(A) = 30 and P(B) = 0.40. Do you have enough information to…

A:

Q: Suppose that E and F are two events and that P(E)= 0.8 and P(F|E) = 0.3. What is P(E and F)? .....…

A:

Q: The two events E and F are independent with P(E) = 0.45 and P(F) = 0.3. Find P(E ∪ F).

A: Given that, The two events E and F are independent with  PE=0.45 PF=0.3 The probability PE∪F is…

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A:

Q: uppose that A and B are tow events for which P(A)=.32, P(B)=.6, and P(A and B)=.41. Find P(A|B)

A: P(A) = 0.32P(B) = 0.6P(A∩B) = 0.41P(A|B) = ?

Q: For two events A and B, you are given that P(A) = 0.64, P(B)=0.4 and P(A or B)=0.8. What is the…

A: From P(A or B)=0.8 we get: or, P(A)+P(B)-P(A and B)=0.8 or, 0.64+0.4-P(A and B)=0.8 or, P(A and…

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=0.76, Find: 1. P(A n B) 2. P(A| B)…

A: Given: P(A)=0.26  P(B)=0.76

Q: The events A and B are such that ?(?) = 4/9?(?|?) = 1/2?(? ∪ ?) = 2/3 (i) Draw a Venn diagram to…

A:

Q: Suppose P(A) = 0.4, P(B) = 0.3, and P(A n B) = 0. Which one of the following statements correctly…

A:

Q: For two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c.…

A:

Q: The Addition Rule says that P(A or B) = P(A) + P(B). What must be TRUE about events A and B for this…

A:

Q: P(A) = 0.4 and P(B) = 0.5. Complete parts (a) through (d). Suppose that events A and B are disjoint,…

A: According to the given information in this questionThere are more than three subparts according to…

Q: 92. G and H are mutually exclusive events. P(G) = 0.5 P(H) = 0.3 a. Explain why the following…

A: Solution Given That  G And H Are Mutually Exclusive Events. P(G) =0.5 P(H) = 0.3

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

Q: Suppose A and B are mutually exclusive events. P(A)= 0.33, P(B)= 0.30 Calculate P(A or B)?

A: Answer: Given that, A and B are mutually exclusive events P(A) = 0.33 P(B) = 0.30

Q: A and B are two events, P(A)= 0.21, P(B)=0.32, P(A|B)= 0.61 Find P(A and B)

A: Answer: From the given data,   A and B are two events, P(A) = 0.21 P(B) = 0.32 P(A|B) =…