1 You Answered Correct Answer Let A, B and C be events satisfying P (A) = 0.4, P (B) = 0.5, P (C) = 0.6, P (An B) = 0.05, P (Bn C) = 0.3, P( Draw an appropriate Venn Diagram and find P (An B'n C). Ⓒsomething else 0.24 O 0.17 O 0.05 0.13

Q: 2. Let A and B be events with P(A) = 0.5 and P(AnB") = 0.4. For what value of P(B) will A and B be…

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Q: If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent

A: For independence of two events A and B, we must have  P(A and B) = P(A).P(B)

Q: Which statement below proves A and B are independent events? P(A)=0.23, P(B)=0.62, P(A and…

A: If A and B are independent events then  P(A and B) =P(A) ×P(B)

Q: For not mutually exclusive events A and B, P(A) = 0.59, P(B)=0.46 and P(A B)=0.28. Find the P(AUB).

A: Given:        The A and B are not mutually exclusive P(A) = 0.59 P(B) = 0.46 P(A ∩ B) = 0.28

Q: NT #5 TRUE or FALSE Justify your answers. a. If two events A and B are mutually exclusive, then P(A)…

A: Given that We have to find true or false a...a. If two events A and B are mutually exclusive, then…

Q: 10. P(A) = 0.5 and P(A + B) = 0.7, find P(B) if – %3D (i) A and B are independent events; (đi) A and…

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Q: There are three events C1, C2, C3 with the probabilities p1, P2; P3 respectively. If Q.4. P1 = 1/4,…

A: Given that there is three events C1, C2, C3 with the probabilities p1, p2, p3 respectively. And…

Q: An athlete who is training for a marathon aims to complete many laps of a running track while…

A: From the provided information, Mean (µ) = 65 Standard deviation (σ) = 0.8 Let X be a random variable…

Q: 1. Let A and B be independent events such that P(A), P(B) > 0. Is it possible that A and B are…

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Q: Suppose that E and F are two events and that N(E and F)=360 and N(E)=590 what is P(FIE)

A: Answer: From the given data, E and F are two events where N(E and F) = 360 N(E) = 590

Q: Suppose that E and F are two events and that P(E) = 0.5 and P(F|E) = 0.2. What is P(E and F)? P(E…

A: GivenP(E)=0.5P(F|E)=0.2

Q: 3.if A and B are two events such that P(AUB) = P(ANB) = and P(A) = 3, then P (B) is equal to a. 1/3…

A: The question is about probability.Given probabilities are as follows :

Q: Suppose that E and F are two events and that P(E) = 0.2 and P(FIE)= 0.8. What is P(E and F)? P(E and…

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Q: Suppose that E and F are two events and that P(E) = 0.3 and P(F|E) = 0.6. What is P(E and F)? P(E…

A: We have to find p( E and F)

Q: 9. Given P(A and B) = 0.56, P(A) = 0.72, and P(B) = 0.81 are events A and B independent or…

A: Introduction: Two events, A and B are said to be independent, if P (A and B) = P (A) ∙ P (B).

Q: Two events A and B are such that P(A) =0.1, P(B)=0.4 and P(AUB)=0.3. Find the value of P(AUB). 0.2…

A: Given:PA=0.1, PB=0.4 and PA∪B=0.3 Then,PA∩B=PA+PB-PA∪B=0.1+0.4-0.3=0.2

Q: Suppose that E and F are two events and that P(E)= 0.8 and P(F|E) = 0.3. What is P(E and F)? .....…

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Q: P(R = .3315), P(T = .5442), and P(R|T) = .3315. Are events R and T independent?     Yes     No…

A: Introduction:  Independent Events. Let A and B are two events. Then the two events A and B are said…

Q: Suppose that E and F are two events and that N(E and F)=420 and N(E)=520 what is P(FE)

A: Answer: From the given data, N(E and F) = 420 N(E) = 520

Q: Two events A and B are such that P(A / B) = 0.5, P(A ∩ B)= 0.15,P(A or B ) = 0.65.  Find P(B / A).

A: The given provided information is: PA|B=0.50PA∩B=0.15PA or B=0.65

Q: Suppose that E and F are two events and that N(E and F)=420 and N(E)=740. What is P(F|E)?

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Q: Suppose that E and F are two events and that P(E)=0.5 and P(FIE) = 0.6. What is P(E and F)? P(E and…

A: GiveP(E)=0.5P(F|E)=0.6

Q: 13. Suppose that E and F are two events and that P(E)= 0.6 and P(F|E) = 0.7. What is P(E and F)? P(E…

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Q: 3. Let C and D be events with P(C) = 0.1, P(D) = 0.6, and P(C U D) Are C and D independent? Explain.

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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: For two independent events A and B, P(A) = .4 an P(B) = .2. a. Find P(AB). b. Find P(A|B). c. Find…

A: From the provided information, P (A) = 0.4 and P (B) = 0.2 The events are independent.

Q: Suppose that E and F are two events and that P(E and F)=0.48, P(F)=0.55, and P(E)=0.5. What is P(F…

A: Suppose that E and F are two events and that P(E and F)= 0.48 P(F)=0.55 and P(E)=0.5 What is P(F |E)…

Q: Suppose that E and F are two events and that P(E) = 0.5 and P(FIE) = 0.3. What is F P(E and F)=…

A: We have given that,  If E and F are two events with,  P(E) = 0.5, P(F|E) = 0.3 Then,  P( E and F ) =…

Q: Suppose that E and F are two events and that N(E and F)=450 and N(E)=750. What is P(F|E)?

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Q: Suppose that C and D are events such that P(C) = 0.5 and P(C&D) = 0.2. Determine P(D| C).

A: Conditional probability is the probability that one event will occur given that another has already…

Q: 9. E and F are two events such that P(E)= 0.60, P(E or F) = 0.90 and P(E and F) = 0.50. Find P(F).

A: Given that  P(E) = 0.6 , P(E or F) = 0.9 ,  P( E and F)=0.50

Q: Suppose that events E and F are independent with P(E) = 0.5 and P(F)=0.9 What is P(E and F)

A: From the provided information, P (E) = 0.5 and P (F) = 0.9 The events E and F are independent.