4. (a) Explain in words the meaning of P(A|B) State the relationship between A and B when: (i) P(A|B) = P(A) (ii) P(A|B) = 0 (b) The events A and B are such that P(A) = P(A|B) = ; P(AU B) = 2 (i) Draw a Venn diagram to represent the information Calculate: (ii) P(B) (iii) P(B|A) (iii) P(AN B) (iv) P(AUB) (v) P(Ā|B) (vi) Represent the information as a tree diagram with B preceding A P(AUB) P(4) + P(B) - Ρ(An B) P(AN B) P(A|B) P(B)

Q: The following table was generated from the sample data of 10 college students regarding the number…

A: The multiply regression equation is given by yhat​=m1​x1​+m2​x2​...mn​xn​+b where the m are the…

Q: Is this true or false?

A: We want to check the following statement is true or false. If the P(A) =0.3 then P(Ac ) = 0.4

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A: In this case, Cov(X,Y) is the covariance between X and Y, sx is the standard deviation of x and sy…

Q: a)     If P(A) = 0.50, P(B) = 0.60 and the P(A| B)= 0.4, then find the P (A U B)                i.…

A: Given,P(A)=0.50P(B)=0.60P(A|B)=0.4

Q: 11.) Rewrite each of the following percentages as probabilities, or p levels: 11a.) 17% 11b.)…

A:

Q: Assume P (A) = .68, P (B) = .45, and P (AN B) = .25. Find P ( An I (An).

A:

Q: A perfect straight line sloping downward would produce a correlation coefficient equal to: O A. -1…

A: Given that ; A perfect straight line sloping downward would produced a correlation…

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

A:

Q: If � ( A ) = 0.24 P(A)=0.24, � ( B ) = 0.52 P(B)=0.52, and � ( A and B ) = 0.12 P(A and B)=0.12,…

A: From the provided information, P (A) = 0.24 P (B) = 0.52 P (A and B) = 0.12

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

A: Here use basic of dependent events

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…

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A:

Q: Suppose P(A) = .2, P(B) = .5, and P(A and B) = .1. What is P(A or B)?

A:

Q: If P(A) = 0.4, P(B) = 0.9, \ and P(An B) = 0.3, \ then (a) P(A|B) = \ and (b) P(B|A) =

A: We have to find given probability...

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A: Let A denotes the extravagant fathers and B denotes extravagant sons.

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: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

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A:

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Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

A:

Q: A special education teacher did research on whether or not there is a relationship between the…

A: The correlation coefficient and slope are –0.863 and –1.212294, respectively.

Q: If P(A)-=0.7, P(B)=0.3, and P(A and B)=0.07, are A and B independent?

A: The probabilities are PA=0.7,PB=0.3, and PA and B=0.07. If the event A and B are said to be…

Q: The following table was generated from the sample data of 10 college students regarding the number…

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Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…