Suppose Q and R are independent events. P(Q) = 0.25 and P(Q and R) = 0.1. Find P(R):

Q: 3.72 For two events A and B, P(A) = .4, P(B) = 2, and P(A|B) = .6. a. Find P(ANB). b. Find P(BA).

A: Please see step by step solution below.

Q: E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F).

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Q: For two events A and B, P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22. Are A and B independent?

A: Given that  P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22

Q: Suppose that A, B are two independent events, with P(A) = 0.3 and P(B) = 0.4. Find P(A and B)

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Q: a. Let A and B be two events such that P(A) = 0.05 and P(A U B) = 0,49. Calculate P(B') if events A…

A: Continue with Simple probability theory...............

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: 4. The probabilities for event A and B are P(A) = 0.4 and P(B) = 0.33. Find P(A U B) if a) A and B…

A: a). Given:P(A)=0.4P(B)=0.33 The formula of probability is: P(A∪B)=P(A)+P(B)-P(A∩B) As the events are…

Q: Assume that we have two events A and B, that are independent. Assume further that P(A) = 0.32 and…

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Q: 2. If P(A) = 1/2 ,P(B) = 3/4 and P(ANB) = 3/8 ,check whether A and B are independent. %3! %3D

A: Note: Please repost remaining questions as i can author only 1 question as per my policy.   2) Given…

Q: If A and B are independent events P(A) = 0.24 and P(A or B) =0.68 Find P(B)

A: P(A)=0.24, P(A or B)=0.68

Q: Suppose A and B are two independent events with P(a)=0.5 and P(b)=0.4 what is the P(A U B)?

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Q: Assume that we have two events A and B, that are independent. Assume further that P(A) = 0.23 and…

A: It is measure of certainty or uncertainty is known as probability. The numerical evaluation of…

Q: Find P(U or V)P(U or V).

A: Concept: Two events are said to be mutually exclusive if both the events cannot occur at the same…

Q: J and K are independent events. P(J | K) = 0.76. Find P(J) P(J) =

A: Solution: Independent events: Two events A and B are said to be independent if the happening of one…

Q: A and B are independent events. If Pr(A intersect B)= 0.32 and Pr[A]= 0.4 what is Pr [B]?

A: Given Data: The probability of A intersect B is: PrA∩B=0.32 The probability of A is: PrA=0.4 Event A…

Q: Suppose P(A) = 0.28 and P(B) = 0.48 and A and B are independent. Events A and B are not disjoint.…

A: Answer is mentioned below

Q: U and V are mutually exclusive events. P(U) =0.25; P(V) = 0.4. Find: A. P(U AND V) = B. P(U|V) C.…

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Q: ven P(A) = and P(B) = ³ Find P(A or B), if A and B are mutually clusive events.

A:

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.6, find P(A AND B).

A: Given that A and B are independent events. P(A) = 0.9 P(B) = 0.6

Q: Suppose that A and B are independent events such that P (4)=0.40 and P(B)-0.70. Find P(ANB) and P…

A: We have given that A and B are independent events.

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

A:

Q: uppose that A and B are tow events for which P(A)=.32, P(B)=.6, and P(A and B)=.41. Find P(A|B)

A: P(A) = 0.32P(B) = 0.6P(A∩B) = 0.41P(A|B) = ?

Q: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)

A: Given: P(A) = 0.50 P(B) = 0.30

Q: Suppose A and B are mutually exclusive events P(A) = 0.3, P(B) = 0.7 Find P(A|B) = Options:…

A:

Q: Let A and B be two independent events with P(A) > P(B), P(AUB) = .626, and P(An B) = .144, determine…

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Q: U and V are mutually exclusive events. P(U) = 0.16; P(V) = 0.6. Find:  a.  P(U and V) =  b.…

A: When A and B are mutually exclusive events,  then  P(A∩B)= 0 P(AUB)=P(A or B) = P(A)+ P(B)-…

Q: 3 b. X and Y are two events, P(Y)==, P(X|Y)=, and PYoX 10 %3D %3D Find P(XnY) and P(X).

A: Given P(Y) = 35, P(X/Y) = 23     and   PY ∩ X = 310

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.5. Find:  a.  P(U and V) =  b.…

A: Therefore,

Q: Let A and B be two events such that P(A) = ¼ While P(A or B) = ½. Let P(B) = P. For which value of…

A: The probability of happening of event A is 14. The probability of happening of event A or event B…

Q: J and K are independent events. P(J | K) = 0.93. Find P(J) P(J) =

A: A and B are the Independent Event if P(A ∩ B) = P(A) P(B)

Q: U and V are mutually exclusive events. P(U) = 0.16; P(V) = 0.59. Find: a. P(U and V) = b. P(U|V) =…

A: Two events U and V are given.

Q: If A and B are independent events P(A) = 0.2 P(A or B) =0.63 Find P(B)

A: Consider, If A and B are independent events, P(A)=0.26 and P(A or B)=0.63

Q: Suppose that C and D are two events such that P(C)=1/2 and P(C & D)=3/10. What is P(D|C)​?

A:

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.…

A:

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: 92. G and H are mutually exclusive events. P(G) = 0.5 P(H) = 0.3 a. Explain why the following…

A: Solution Given That  G And H Are Mutually Exclusive Events. P(G) =0.5 P(H) = 0.3

Q: J and K are independent events. P(J | K) = 0.23. Find P(J)

A: From the provided information, J and K are independent events and P(J|K) = 0.23

Q: The two events A and B are independent with P(A) = 0.2 and P(B) = 0.05. %3D Then P(Ān B) = 0.55

A: Given Information: Two events A and B are independent with PA=0.2 and PB=0.05 Required: To find…

Q: Suppose P and Q are two independent events with P(P) = 0.23, P(P and Q)= 0.18 Calculate P

A: P(P) = 0.23, P(P and Q)= 0.18 P and Q are independent events