Let ? and ? be two events. a) If the events ? and ? are mutually exclusive, are ? and ? always independent? If the answer is no, can they ever be independent? Explain. b) If ? ⊂ ?, can ? and ? ever be independent events? Explain.

Q: 4. Let A and B be two events. a) If the events A and B are mutually exclusive, are A and B always…

A: Given that,A and B are two events. a)A and B are mutually exclusive event. b)The event A is subset…

Q: 1, 2, 3, and 4 are events. 1and 2 are mutually exclusive and independent.P(1) = 0.4. P(1∩3) = P(2 ∩…

A: Given 1,2,3,4 are four events. Events 1 and 2 are mutually exclusive and independent events.P(1∩3) =…

Q: Let event G = taking a math class. Let event H = taking a science class. Then, G ∩ H = taking a math…

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Q: | P(An B) = ? a. {HH,TH} |B' = ? b. {HT, ТH} v A' ? с. 0.25 | P(AU B) = ? ]P(A) = P(B) = ? d. 0.75…

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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 is a false statement?

A: Dependent events are those , first events probability affect the probability of other event in…

Q: 0: The Dow Jones average does not rise on the first day but rises on the second day. O: The Dow…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: a.) It is a new event that contains all of the outcomes that are in at least one of the two events.…

A: We have to find correct answer for given data..

Q: Let us have events/sets A and B such that P(A)=0.3 and P(B)=0.9. Can A and B be mutually…

A: Let us have events/sets A and B such that P(A)=0.3 and P(B)=0.9.

Q: A box contains 40 blocks. For each of the colors red, blue, green, or yellow there are 10 blocks of…

A: Here, given that  a box contains 40 blocks. For each of the colors red, blue, green, or yellow there…

Q: a) Are events F and H disjoint? Explain. |

A: Two events A and B are said to be disjoint if P(A and B) = 0

Q: Since events A and B are independent events; Prove that the events depicted in the picture are…

A: Given that the events A and B are independent events.

Q: The Am supply and deman for various blood types. They estimate that about 45% of the U.S. population…

A: Type o = 45%  P(o)= 0.45  Type A = 40%  P(A)= 0.40  Type B = 11%  P(B)=0.11 Type AB = 100-(45+40+11)…

Q: Let A and B be events. Point (prove) that:   a. P(A \ B) = P(A) − P(A ∩ B).    b) If 0 < P(B) < ,…

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Q: a) determine P(A n B) b) determine P(B u C)

A: It is given that P(A) =.5, P(B)=.3, P(C)=.2. The events A and B are independent and the events A and…

Q: Answer true or false to the following statement and justify your answer: If event A and event B are…

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Q: . Possessing a boat and renting an apartment are: A. independent events B. mutually exclusive C.…

A: Given data : Possessing a boat and renting an apartment are: A. independent events B. mutually…

Q: Let event G = taking a math class. Let event H = taking a science class. Then, G ∩ H = taking a math…

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Q: Let S = {5, 10, 15, 20, 25, 30}, E = {10, 20, 30}, F = {5, 15, 25}, and G = {25, 30}. (Enter ∅ for…

A: The answer is mentioned below

Q: 8. Making a left and a right turn at the same time are: A. independent events B. mutually exclusive…

A: Sol:- The correct option is D, neither independent nor mutually exclusive.

Q: Assume that a student is chosen at a random from a class. Determine whether the events eight and B…

A: The given data is as follows:Event A: the student is a womanEvent B: the student belongs to its…

Q: 6a. Supposed P(A) = .45, P(B) = .24, and events A and B are mutually exclusive. Find... a. P(A or…

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Q: dre ever oddns a. An BCAUB b. Cn (D – E) C ((C n D) – (C n E)) c. FUØ = F

A:

Q: Define event A as students in the IE department; event as students who is working on thesis in the…

A: We have to define event and check statement is true or false for mutually exclusive events.

Q: Let ? and ? be two mutually exclusive events. Given that (?)=0.25 and ?(?∪?) =0.77, determine ?(?).

A: Given: P(A)=0.25 P(A∪B)=0.77

Q: : If A, B, C are mutually independent events then A UB and C are also independent.

A: Answer: For the given data,

Q: The statement that “?(?|?) = ?(?|?) whenever ? and ? are independent events” is

A: we have given that  independent events .

Q: Determine if events A and B are mutually exclusive. 3 P(A) = P(B) = 10 7 3 P(A) 10 3 9. P(A or B) 5…

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Q: event the die comes up even event the die comes up odd event the die comes up 4 or more event the…

A: Note-  Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: B1. Consider events A, B and C, where A and B are mutually exclusive. Using multiple Venn diagrams,…

A: By using a Venn diagram, one can represent the information collected from a survey. Suppose a number…

Q: Suppose we are interested in the pairwise intersection. What is the pairwise intersection for the…

A: (5)Explanation:In the given, we can determine the pairwise intersection for events E and F by…

Q: Let S = {4, 9, 14, 19, 24, 29}, E = {9, 19, 29}, F = {4, 14, 24}, and G = {24, 29}. (Enter ∅ for the…

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