Given events A, B and C such that A and B are mutually exclusive, A is a subset of C, P(B) = 1/2, P(C) = 3/4, P(B and C) = 3/8, and P(A and C) = 1/4, Calculate: P(A) P(C and notA) P(B or C) P(notA or B) P(B | notC)

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: Event A and event B are mutually exclusive, P(A) = 0.6 and P(B) = 0.2 Calculate the following,…

A: Answer: From the given data, P(A) = 0.6  P(B) = 0.2 Event A and event B are mutually exclusive,

Q: A quarter and a dime are tossed. The four possible equally likely outcomes are {HH, HT, TH, TT}.…

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

Q: Given that P(A) = 0.7, P (A/B) = 0.7, P(A∩B) notation same as P (A and B) = 0.42, find  the…

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

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

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Q: If A and B are mutually exclusive events then: Select one: P(A and B)=P(A)+P(B) PCA or B)-P(A)+P(B).

A: A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B…

Q: Suppose that the events A, B, and C are independents, where P(A)= 1/2, P(B)=1/3, and P(C)= 1/4. What…

A: Given that A, B, and C are independents. So,…

Q: if the probability of student succeeding in the exam for subject A is twice the probability of…

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

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Q: If A and B are mutually exclusive events then O a. 1- P(AN B) = P(A) + P(B) %3D | O b. P(AU B) =…

A: Mutually exclusive events: Two events A and B are said to be mutually exclusion if there are no…

Q: For any two events A and B it is known that P(A) = 2/3, P(AUB) = 7/12 and P(A∩B) = 5/12, find P(B

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Q: (B) At a signalized intersection, the coming car turns either left or right or goes through. If…

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Q: For any two events A and B and P(B)÷ 1 and A N B = Ø, find weather the following statement is true…

A: GivenTw events A and B P(B) ≠1A∩B = ϕ So A and B are mutually exclusive events, So P(A∩B)=0. The…

Q: Events A and B are independent, where P(A) = 0.25 and P(B) = 0.10. Determine P(A∩B).

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Q: Problem 3) Show that for any three events A, B, and C with P(C) > 0, P(A U B |C) = P(A| C) + P(B|C)…

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Q: Given three events A, B and C such that P(A n B n C) ‡ 0 and P(C|An B) = P(C|B), show that P(A/B nC)…

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Q: For any three events A, B and C P ( A U BUC) = P(A) + P (B ) + P ( C ) – P ( A OB)-P( BnC) -P(CnA)+…

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Q: I need answers for B, C.  Three friends (A, B, and C) will participate in a round-robin tournament…

A: Provided information is ; P(A beats B) = 0.2P(A beats C) = 0.4P(B beats C) = 0.7 Calculation : Now…

Q: The Journal de Botanique reported that the mean height of Begonias grown while being treated with a…

A: Given: n=14s=11x¯=32μ=36α=0.10

Q: For any two disjoint events E and F. P(EUF) = P(E) + P(F) Select one: O True O False

A: For any two disjoint events E and F.

Q: 1.) Please find the following probabilities of A, B, C? A.) ?(? ≤ −1.2)= B.) ?(? ≥ 0.08) = C.)…

A: Given: A.) P(Z ≤ −1.2) B.) P(Z ≥ 0.08)  C.) P(0.23 ≤ Z ≤ 1.40)

Q: a) Show that the probability of the union of (non-mutually exclusive) events A and B can be written…

A: For any two events A and B, union of A and B is defined as the occurrence of either A or B or both.…

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.…

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Q: If A and B are independent events, then ... None of the above OP(AUB)=P(A)×P(B) OP(A U B) = 1OP(An…

A: If events A and B are independent, it means that the occurrence or non-occurrence of one event does…

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…