Given two events A and B , state whether each of the following can be possible or not  a) P(A) P(A) c) P(A n B) = 0.12 and P(A u B ) = 0.20 d) P(A n B) = P(A)P(B) and P(B) > P(B \ A) e) P(A) + P(B) = 1.2

Q: Two events A and B are such that P(A) =0.25, P(B) = 0.4 , and P(AUB)3D0.5. Draw a Venn diagram to…

A: From the given information, PA=0.25PB=0.4PA∪B=0.5 The required Venn diagram is shown below:

Q: Bowl I contains 3 red chips and 7 blue chips. Bowl II contains 6 red chips and 4 blue chips. A bowl…

A: a) Bowl I consists of 3 red chips and 7 blue chips.

Q: When 2 events (A,B) are independent, what is the probability of their union? a.) P(A) + P(B) b.)…

A: Let us consider two events A and B.   Consider A and B are independent events.

Q: Which of the following is NOT necessarily true for mutually exclusive events A and B? P(A B)=0…

A: If A and B are mutually exclusive events, then A∩B=∅. Then, we have P(A∩B)=P(AB)=0. 1.)…

Q: 11.) Rewrite each of the following percentages as probabilities, or p levels: 11a.) 17% 11b.)…

A:

Q: Supposed P(F) = .25, P(F or G) = .70, and events F and G are mutually exclusive.  Find: a) P(G)…

A: (a)If events F and G are mutually exclusive, then, P (F or G) = P(F)+ P(G).Or, P(G) = P (F or G) –…

Q: Which of the following expressions must be true if events A and B are independent? Choose from the…

A:

Q: B) are disjoint, what is the probability of their union? a.) P(A) + P(B) b.) P(A)P(B) c.) 0 d.)…

A: As given that events A and event B are disjoint. It is asked to find the probability of their union.

Q: A AC Total B 0.443 0.005 0.528 BC 0.224 0.24 0.427 Total 0.667 0.333 1

A: From the cross-tabulation table, we have P( A ) = 0.667 P( B ) = 0.528 P( Ac and B ) = P( B ) - P( A…

Q: ts, A, B, are independent if and only if at least one of the following holds: i) P(A|B) = P(A) or…

A: (e) is correct. It is given that "two events A,B are independent if and only if at least one of the…

Q: Congrssional terms is shown as follows :given the summary from the 112th congress of senators whose…

A: Note: Since you have posted questions with multiple subparts we will solve the first three questions…

Q: Which of the following is NOT necessarily true for mutually exclusive events A and a) P(A NB)=0 c)…

A: Mutually Exclusive events: If A and B mutually exclusive events, then PA∩B=0. a) From the mutually…

Q: On an airplane, 92% of people are in economy seats (also known as coach.) Of the people in economy,…

A: given data  event E : in an economy seatevent F : member of frequent flierP(in an economy seat) =…

Q: 4. Events A and B are such that P(A) =P(A|B) =,P(B) = a) Find P(B|A) b) Find P(BnA) c) Are events A…

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: "Events AA and BB are mutually exclusive if they can not occur simultaneously." This statement is…

A: Given information- We have given that A and B are mutually exclusive. A and B are mutually exclusive…

Q: If event A and event B are mutually exclusive, and P(A) = 0.5 and P(B) = 0.3, find P(A and B).

A: From given data we have : P(A)=0.5 P(B)=0.3

Q: Given events A and B are independent with ?(?) = 0.7 and ?(?) = 0.4 Determine: a) P (A and B); b)…

A: The independent events are  and .The value of The value of

Q: ) Suppose that events A and B are independent. Show that p(A | B) + p(B)(1-p(A)) - P(A ∪ B) = 0.

A: Two events A and B said to be independent if and only if PA∩B=P(A) P(B).