If A and Bare events which are conditionally independent given a third event C, which of the following is not necessarily true? Select one: O a. None of the other choices Ο b P(An BIC') = 1-Ρ(AC)P(Β| ) Ο c P(B) A n C) = P(Β)C) ο dP(An BC) - P(Α | C) - P(A|C)P(B*| C) e. P(AN BNC) = P(A|C)P(BnC)

Q: Prob-3 Pressurized air are being used in a manufacturing company in its daily operation. There are…

A: The events A and B are given as- A : Reciprocal compressor (R) is always off. B: At least one of the…

Q: Events A and B are mutually exclusive with P(A) = 0.35 and P(B) = 0.25. Then, P(B) = P(Bº) = (Enter…

A: GivenA and B are mutually exclusiveP(A)=0.35P(B)=0.25

Q: Consider four independent events A1, A2, A3, and A4, andlet pi 5 P(Ai) for i 5 1,2,3,4. Express the…

A: Let pi be the probability of the event Ai. Denote qi=1- pi as the probability that event Ai does not…

Q: 1 1 Let A and B be independent events with P(A)= and P(B)= 5. Find P(An B) and P(AUB). 7 P(ANB)= ***

A: given data P(A)= 18P(B) = 15independent eventsfind P(A∩B)and P(A∪B)

Q: Consider two events G and H. P(GH)=P(HG)=P(HOG) = = The solutions are:- A)P(G'n H) B)P(G'n H') = 4…

A:

Q: Two independent events D and E can only be disjoint if IP(D) = * P(E)

A:

Q: Which of the following is NOT true:

A: Here given different sentences for probability .

Q: Show that if A and B, (n = 1,2,3, . -) are events, then An (U Bn) = U (AN Bm)

A:

Q: If the events A and B are independent if P(A')=2/3 and P(B')=2/7 then P(AB)=

A:

Q: Show that if E1,... , En are events such that P(E;) = 1 for i = 1, ...,n, then Ek) = 1. k=1

A: We have events E1, E2,...., En such that PEi = 1. We have to that the probability of the event…

Q: 4. Consider 3 events A, B and C with Pr(A) = = a, Pr(B) = 3a, Pr(C) = 5a, and Pr(An B) = Pr(ANC) =…

A: Probability is the chance that an unsure event will occur with this probability. Basically, the…

Q: Event A occurs with probability 0.2. Event B occurs with probability 0.3. Event C occurs with…

A: Disjoint events: The condition for disjoint events is P(A and B)=0. From the given information, the…

Q: Two events A and B are such that P(A)=0.25, P(B)=0.4, and P(AUB)=0.5. Draw a Venn diagram to…

A: Venn diagram is the diagrammatic representation of the different sets. If there is a common in the…

Q: 8. 6. Say events A1, A2, . are almost disjoint if P(A; NAj) = 0, i+ j. Show for such events 80…

A:

Q: Question 1. Suppose A and B are events with P(A) = ½, P(B) and 113 P(A or B) = a) Are A and B…

A: Given that  P(A) = 1/3 , P(B) = 1/4 , P(A or B) = 1/2

Q: If Aj, j = 1, 2,..., n are independent events, show that (equation in picture)

A: If  are independent events , then we have to show that

Q: 4. The gambler bets $1 per game and either wins or loses each game. The gambler is ruined if he/she…

A: The probability of winning is p > 0 and probability of losing is q > 0, p + q = 1(that is ).

Q: . The probability that two specified letters will be placed in the correct envelopes is 1[n(n – 1)].…

A: