2. Let A and B be two events with P(A) = and P(B) = . Show that %3D (a) P(AU B) > 3/4 (b) 를

Q: . (a) If for two events, A and B 1 1 and P(A/B) Then find P(B- A). 4. P(B) %3D -

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: Let A and B be events such that P(A)=.P(B)= and P(AUB)= 5. 10 (a) Find P(A|B) (b) Find P(A|B') (c)…

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Q: Samplity. 3(2~)- H (2 ") 2

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Q: (b). A and B are two events such that 3 P(-4)=P(B) = 1/ and P(AUB) = 2 4 Calculate: (i). P(BA) (ii).…

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Q: 3. A and B are two events such that P(A) =, P(A|B)= and P(A|B')=;. %3D Show that P(AOB) : 64

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Q: The dreaded disease brainfreezitis afflicts 2% of actuarial students taking an exam. Two tests are…

A: What is the probability that student actually has brainfreezitis. A = Students has brainfreezitis B…

Q: d t In(t)dt} dx 3

A: We will find out the derivative of given function using fundamental theorem of calculus.

Q: Suppose that A and B are independent events such that P(A) =0.70 and P(B) = 0.20. %3D Find P(AN B)…

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Q: For any two events A and B, we have (i) P(ìB) = P(B) – P(A^B) (ii) P(AB) = P(A) - P(A^B)

A: Answer..

Q: Pr[A]=7/9 Pr[B]=2/9 Pr[a|A]=3/5 Pr[b|A]=2/5 Pr[a|B]=1/3 Pr[b|B]=2/3 Find the following missing…

A: 1) Pr[B]=29 [given]2) Pr[b]=Pr[A and b]+Pr[B and…

Q: If A and B are two dependent events, P(A) = 0.60 , P(A and B) = 0.153 then P(B/A)= 0.525 O 0.225 МА…

A: Solution: From the given information, P(A) = 0.60 and P(A and B) = 0.153.

Q: (iii) Given that the events A and B are such that : 3 P(A) = P(AUB)= and P (B) = p. 2' Find the…

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Q: For two independent events A and B, if P(A n B) = 0.049 and P(A) = 10P(B), then P(A) is equal to:

A: Step 1:Given that :P(A∩B)=0.049P(A)=10P(B)Find the P(A).Step 2:A and B are independent events.We can…

Q: Suppose that C and D are events such that P(C) = 4/5 and P(C&D) = 3/10. Find P(D| C).

A: The formula for conditional probability is,

Q: 4. (a) Explain in words the meaning of P(A|B) State the relationship between A and B when: (i)…

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Q: 4) Let P(A) = A%, P(A U B) = 0.7. Find P(B) if a. the events A and B are mutually exclusive. b. the…

A: Given, P(A) = 20% = 0.2 P(A ∪ B) = 0.7 P(B) = ?

Q: Q2. Two events A and B are said to be dependent if and only if:

A: Here use basic of dependent events

Q: If A and B are two events with P(A) = 2/3, P(B) = 1/5, P(A ʼn B) = 1/15 then Find P(ANB)

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Q: Suppose that for events A, B, we have: P(A) = 1/6 , P(B) = 5/12 , P(A|B) + P(B|A) = 7/10. What is P(…

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Q: Events A and event B are mutually exclusive, P(A)=0.5 and P(B)=0.3 Calculate the following,…

A: Answer: From the given data, P(A) = 0.5 P(B) = 0.3 Events A and B are mutually exclusive,

Q: If A, B , and C are mutually exclusive events and P(A) = ; P(B) = - and P(C) = find %3D P(B' n C').

A: The events A, B, and C are mutually exclusive events.

Q: Suppose that A and B are two independent events for which P(A) = 0.17 and P(B) = 0.59 Find each of…

A: For the given data Find p(A/B ) =? P(B/A) =? P( A and B ) =? P (A or B ) =?

Q: * (2) Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(A/B) = 0.1. Then P(A|AUB) is (a)…

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Q: So, P(A N B) is the probability that both dice show a 5. Of the 36 possible outcomes, there is only…

A: There are total 62=36 outcomes when two 6-sided dice are rolled.We can get (5, 5) for only 1…

Q: For two events A and B, P(A) = 0.3 and P(B) = 0.4. %3D (a) If A and B are independent, then P(AU B)…

A: given that PA=0.3,PB=0.4a)If A and B are independentPA∪B=PA+PB-PA∩BPA∩B=PA·PBPAB=PAsoans:…

Q: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…

A: P(A or B) =0.55 and P(A) =0.25. Events A and B are independent.

Q: Describe about dependent events of multiplication rule.

A:

Q: If A and B are two events with P(A) = 2/3, P(B) = 1/5, P(A n B) = 1/15 then Find P(ANB)

A: Answer: From the given data, P(A) = 23 P(B) = 15 P(A∩B) =115

Q: If A = {7, 8} and B = {2, 4, 6}, what is A x B. * O {(2, 7), (4, 7), (6, 7), (2, 8), (4, 8), (6, 8)}…

A: This question is related to Set theory, We will solve it using given information.

Q: Suppose that events E and F are independent with P(E)= 0.5 and P(F) = 0.7 What is P( E and F )…

A: Answer: From the given data, Suppose that events E and F are independent  P(E) = 0.5 P(F) = 0.7

Q: Let A and B be events such that P (A) = 1/5 P (A & B) = 1/10 and P (A or B) = 1/2 Determine P (B)

A: P(A)=15P(A and B) = 110P(A or B) = 12

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: If A and B are independent events and P(a)=0.6 and P(b)=0.3, what is P(a^c U b^c)?

A:

Q: For two events A and B, P(A) = 0.4 and P(B) 0.1. (a) If A and B are independent, then P(ANB)%3D…

A: As given by the question There are given that two events and their values: PA=0.4PB=0.1 From the…

Q: If A and B are disjoint events such that P(A) =0.30 and P(B)=0.50 then P(BNAC) %3D

A: It is given that, A and B are disjoint events i.e. P(A ∩ B) =0 We have P(A) =0.30 and P(B)=0.50

Q: 2. A and B are events such that P(A) = 0.3, P(B) = 0.4, P(A/B) = 0.5. Calculate: (1) P(AB) and P(A +…

A: Answer :- Given A and B are two events.  where P(A) = 0.3,  P(B) = 0.4,    P(A|B) = 0.5…

Q: 27. Let A and B be two given events such that P(A) = 0.6, P(B) = 0.2 and P(A/B) = %3D 0.5. Then…

A: From the provided information, P (A) = 0.6 P (B) = 0.2 P (A/B) = 0.5

Q: If two events A and B area such that P(A)=0.3, P(B) = 0.4 and P(AB)=0.5 then P(B|AUB))=

A: