Let A and B be events with P(A) = 0.1 and P(B) = 0.4. Assume that A and B are independent. Find P(A and B). P(A and B) Start over

Q: Suppose that A, B are two events such that P(A)  = 0.7, P (B) = 0.55 and P  (A / B) = 0.6 Find P (A…

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Q: Suppose that A and B are independent events such that P(A) = 5/8 and P(B) = 4/7. Find P(A&B).

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Q: Let A and B be independent events with P(A)=1/8 and ​P(B)=1/3. Find​ P(A∩B) and​ P(A∪B).

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Q: Consider two independent events A and B such that P(A) = 0.5 and P(B) = 0.6, what is P(AUB)? %3D

A: Given that A and B are independent events. Thus, P(A n B) = P(A)P(B) = 0.5*0.6 = 0.3

Q: If A  and   B    are independent events with    P(A)=0.24    and    P(B)=0.73  Calculate and find…

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Q: For two events E and F, P(E) = 0.30, P(F) = 0.40, and P(E U F) = 0.70. Are E and F mutually…

A: Introduction: The occurrences that cannot occur or cannot occur at the same time are said to be…

Q: Assume that A and B are random events such that 0<P(A)<1 and O<P(B)<1. Therefore it is fulfilled:…

A: Given that  A and B are random events such that 0&lt;P(A)&lt;1 and O&lt;P(B)&lt;1. We have P(A and…

Q: Determine whether E and F are mutually exclusive, if E is the event "being a plumber", and F is the…

A: Mutually exclusive means when two events can not occur at the same time.

Q: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

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Q: Suppose that A and B are mutually exclusive events such that P(A) = 0.25 and P(B) = 0.40. Determine…

A: Special Addition Rule:

Q: assume that Pr[A∪B]=0.6 and Pr[A]=0.2 (1) What is Pr[B] if A and B are independent events?

A: Since A and B are independent event, so pr(A∩B)= pr(A)pr(B).

Q: Given that A and B are independent events, show that ?̅ and B are also independent events

A: Given: Given that A and B are independent events, show that ?̅ and B are also independentevents

Q: Given P(An B') = 0.25, P(A) = 0.48 and P(B) = 0.42. Find P(A n B). Is A and B mutually exclusive…

A: (1) Let A and B are two events The known probabilities are,

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10 Find the probability of B…

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Q: Let A and B be events such that P(A) =1/8, P(A or B)=1/6 and P(A and B)=1/11. Determine P(B)

A: P(A) =1/8, P(A or B)=1/6,  P(A and B)=1/11.

Q: Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a…

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Q: Suppose A and B are dependent events and P(B | A)=0.4, P(ANB)=0.1, P(B')=0.62. Find P(A U B).

A: Consider that A and B are two dependent events.

Q: Let A and B be independent events with P(A) " and P(B) =. Find P(AN B) and P(A U B).

A: Given that P(A) = 1/8 P(B) = 1/5

Q: Let A and B be events such that P(A)=1/4, P(A or B)=1/3, and P(A and B)=1/5. DetermineP(B)

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Q: (a) Two independent events, A and B, are such that, P(A) = 0.7 and P(B) = 0.4, calculate: (i) P(An…

A: We have to solve given problem:

Q: if a and b are independent events with P9A)=0.4 and P(B)=0.5, then P(A or B)=?

A: If a and b are independent events, thenPA and B=PA∩B=PA.PB=0.4×0.5=0.2

Q: Let A and B be mutually exclusive events with P(A)=0.43 and P(B)= 0.53 calculate P(A ∩ B)…

A: From the provided information, P(A) = 0.43, P(B) = 0.53

Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

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Q: Compute the probability of each of the following events (i) X <1 1/2 (ii) XY is even

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Q: uestion 16 For any two events A and B to be not independent, P(AN B) = P(A).P(B) True False

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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: Let A and B be events such that Pr[A]=0.37, Pr[B]=0.62, and Pr[A N B]=0.11. Find Pr[A|B].

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Q: Let E and F be two events in S with P(E) = 0.45, P(F) = 0.63, and P(E ∪ F) = 0.87. Find P(E ∩ F) and…

A: Formula:For 2 events A and B, P (A ⋃ B) = P (A) + P (B) – P (A ∩ B).

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10  Find the probability of B…

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Q: b) Given that A and B are independent events, show that A and B are also independent events.

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Q: Let A and B be two events such that P(A)=0.5, and the probability that neither occurs is 0.3. Find…

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Q: Let A and B be any two events defined on S. suppose that p(A)=0.2, p(B)=0.7, and p(A and B)=0.3, the…

A: It is given that, p(A) =0.2 p(B) =0.7 and p(A and B) =0.3

Q: A and B are independent events such that P(A) = 0.3 and P(B) = 0.6. Find P(A&amp;B).

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Q: Let A and B be events with P(A) = 0.5, P(B) = 0.4. Assume that A and B are independent. Find P(A and…

A: Here the events are indepenedent P(A) = 0.5 P(B) = 0.4

Q: Given P(A)=0.5 and P(B) =0.3 a) if A and B are mutually exclusive events, compute P(A or B)

A: Two events are said to be mutually exclusive events, if two events can not occur simultaneously.…

Q: Let A, B, be two independent events such that P(A) = P(B) = 0.3 then P(A UBC) =

A: Given that PA=PB=0.3 A and B are independent events. Hence, P(A and B)=P(A)*P(B)=0.3*0.3=0.09

Q: For any two events A and B, show that P(ĀOB)=P(B) –- P(A B).

A: Answer: From the given data, A and B are any two events

Q: Let A and B be events such that P(A)=0.5, P(B)=0.4 and P (A U B) = 0.6 Find P (A/B). Probability =

A: Formula : P(A|B) = P(AnB)/P(B) P(AuB) = P(A) + P(B) - P(AnB )

Q: Let A and B be events such that 0

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Q: Let A and B be events with P(A) = 0.1 and P(B) = 0.4. Assume that A and B are independent. Find P(A…

A: We have given that,  A and B are two independent events with     P(A) = 0.1 and P(B) = 0.4 Then, We…

Q: Let A, B and C be three independent events such that P(A)= P(B)= 0.3 and P(C)= 0.5. Find the…

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Q: Let A and B be independent events with P(A) = 0.47 and P(B) = 0.33 . Find P(A and B)

A: Given,  P(A) = 0.47 P(B) = 0.33 A and B are independent events  For independent events P(A and B) =…

Q: IJ A and B are independent events, prove that the events A and B, A and B; and A and B are also…

A: Answer: For the given data,

Q: Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find: || (a) P(A N B) and P(A U…

A: Independent Events:   Any two events A and B are said to independent if the occurrence of the event…

Q: For any event A, P (A U Ã) =1 True or false

A: for any event A, A¯  is complement of A. then A¯∩A=∅

Q: Let A and B be events where P(A) = 1/3 and P(B) = 1/4. Show bounds for P (A U B)

A: Given ,PA=13 , PB=14We know that PA∪B≥PB                    PA∪B≥PA              and PA∪B≤PA+PB

Q: If E and F are independent events with P(E) =0.4 and P(E or F) = 0.6,then find P(F). a. 0.56 b. 0.33…

A: We have the formula for Union of two event