13 Show that if A and B are mutually exclusive and if P(A) and P(B) are both positive, then A and B cannot be independent. [Hint: What is P(BA)?]

Q: 3. Which of the following are equivalent to Vx: P(x) ^ Q(x)? a. ¬3x : ¬P(x) V-Q(x) b. Vx: P(x) =…

A: To find: The equivalent statement of ∀x : Px∧Qx from the following:a) ~∃x : ~Px∨~Qxb) ∀x : ~Px⇒Qxc)…

Q: Suppose P(A) P= 0.3, P(B) = 0.4 and P(A ∩ B) = 0.12. Which of the following is Correct? A) P(A U B)…

A: The probabilities of the events are given as follows:

Q: 1. Let P(A) = 0.3 and P(B) = 0.6. a) Find P(AUB) when A and B are independent. b) Find P(A/B) when A…

A: P(A) = 0.3P(B) = 0.6

Q: Consider the following. Find Av. Av = A = 10-1 1 1 1 = 7 -1 Complete the following statement. Since…

A: Given that A is a 2X3 matrix and v is 3X1 vector so product is possible. The null space of A,…

Q: 14. Given P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

A: Given that: P(A) 0.25 P(B)=0.28 P(B|A) =0.28

Q: Then where a11 a31 - 1 1 a32 = a12 || 1 a33 || a13 A = A-1 - 1 1 7 0 7 7 -9 8 a11 a12 a21 a22 a31…

A: Let A be a square matrix. Then the matrix A-1 are the cofactor matrix divided by det A

Q: Let P be the statement: "For all a, b, c € Z, if ged(a, b) = 1 and c divides a + b, then ged(a, c) =…

A: (a) The statement P says that if a, b, c are three integers such that gcd(a, b) = 1 and c divides a…

Q: Using De Morgan's law, which choice is logically equivalent to the following predicate statement:…

A: We Know that  To negate of quantifiers, you flip each quantifier and then negate the predicate. So…

Q: could you explain if option 14 is correct: the one attached

A: As per the question, we are tasked with minimizing the cost of meeting daily workforce demands for…

Q: Every inhabitant of a certain distant planet has one of three possible occupa- tions: educator,…

A: If A is an educator, then B must be a lawyer, but B says they are not. This is a contradiction.If A…

Q: B is O A. P(Reject Ho | HA is true) O B. P(Fail to Reject Ho | Ho is true O C. P(Reject Ho I Ho is…

A: Given: β is provided

Q: If P (B) = 1/4, P (A ∪ B) = 1/2 and P (A|B) = 2/3, then which of the following statements is true?…

A: GivenP(B)=14P(A∪B)=12P(A|B)=23

Q: Let A = [ L 1 -1 4 24 2 37 2 1 J , V = Is v in Nul(A)? Type "yes" or "no". no Is w in Nul(A)? Type…

A:

Q: Using De Morgan's law, which choice is logically equivalent to the following predicate statement:…

A:

Q: (2b) Let I = {2,4, 6, 8, 10} and S« = { a | a E I}. Prove or disprove the following statement: "If S…

A:

Q: 1)dependent or independent 2) dependent or independent 3) dependent or independent

A: Given,P(A)=15 ,  P(B)=310  ,   P(A and B)=3100